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Finding the Fourth Proportional to 11,567.35, 15,962.92 and 6,262.17

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Solution

The fourth proportional to 11,567.35, 15,962.92 and 6,262.17 is: 8,641.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.35 : 15,962.92 = 6,262.17 : x
  2. Step 2: Convert to fraction form
    11,567.35/15,962.92 = 6,262.17/x
  3. Step 3: Cross multiply
    11,567.35x = 15,962.92 × 6,262.17
  4. Step 4: Simplify right side
    11,567.35x = 99,962,518.74
  5. Step 5: Solve for x
    x = 99,962,518.74/11,567.35
  6. Step 6: Final answer
    x = 8,641.78

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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.