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Finding the Fourth Proportional to 11,567.43, 15,962.94 and 6,262.16

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Solution

The fourth proportional to 11,567.43, 15,962.94 and 6,262.16 is: 8,641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.43 : 15,962.94 = 6,262.16 : x
  2. Step 2: Convert to fraction form
    11,567.43/15,962.94 = 6,262.16/x
  3. Step 3: Cross multiply
    11,567.43x = 15,962.94 × 6,262.16
  4. Step 4: Simplify right side
    11,567.43x = 99,962,404.54
  5. Step 5: Solve for x
    x = 99,962,404.54/11,567.43
  6. Step 6: Final answer
    x = 8,641.71

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