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Finding the Fourth Proportional to 7,718.74, 11,593.63 and 4,604.83

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Solution

The fourth proportional to 7,718.74, 11,593.63 and 4,604.83 is: 6,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.74 : 11,593.63 = 4,604.83 : x
  2. Step 2: Convert to fraction form
    7,718.74/11,593.63 = 4,604.83/x
  3. Step 3: Cross multiply
    7,718.74x = 11,593.63 × 4,604.83
  4. Step 4: Simplify right side
    7,718.74x = 53,386,712.70
  5. Step 5: Solve for x
    x = 53,386,712.70/7,718.74
  6. Step 6: Final answer
    x = 6,916.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.