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Finding the Fourth Proportional to 7,451.94, 10,279.71 and 4,618.38

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Solution

The fourth proportional to 7,451.94, 10,279.71 and 4,618.38 is: 6,370.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451.94 : 10,279.71 = 4,618.38 : x
  2. Step 2: Convert to fraction form
    7,451.94/10,279.71 = 4,618.38/x
  3. Step 3: Cross multiply
    7,451.94x = 10,279.71 × 4,618.38
  4. Step 4: Simplify right side
    7,451.94x = 47,475,607.07
  5. Step 5: Solve for x
    x = 47,475,607.07/7,451.94
  6. Step 6: Final answer
    x = 6,370.91

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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.