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Finding the Fourth Proportional to 11,464.17, 15,814.73 and 7,487.61

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Solution

The fourth proportional to 11,464.17, 15,814.73 and 7,487.61 is: 10,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.17 : 15,814.73 = 7,487.61 : x
  2. Step 2: Convert to fraction form
    11,464.17/15,814.73 = 7,487.61/x
  3. Step 3: Cross multiply
    11,464.17x = 15,814.73 × 7,487.61
  4. Step 4: Simplify right side
    11,464.17x = 118,414,549.21
  5. Step 5: Solve for x
    x = 118,414,549.21/11,464.17
  6. Step 6: Final answer
    x = 10,329.10

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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.