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Finding the Fourth Proportional to 7,843,497.75, 10,822,347.87 and 4,578,830.91

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Solution

The fourth proportional to 7,843,497.75, 10,822,347.87 and 4,578,830.91 is: 6,317,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843,497.75 : 10,822,347.87 = 4,578,830.91 : x
  2. Step 2: Convert to fraction form
    7,843,497.75/10,822,347.87 = 4,578,830.91/x
  3. Step 3: Cross multiply
    7,843,497.75x = 10,822,347.87 × 4,578,830.91
  4. Step 4: Simplify right side
    7,843,497.75x = 49,553,700,945,928.66
  5. Step 5: Solve for x
    x = 49,553,700,945,928.66/7,843,497.75
  6. Step 6: Final answer
    x = 6,317,806.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.