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Finding the Fourth Proportional to 12,006.96, 16,567.92 and 7,291.16

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Solution

The fourth proportional to 12,006.96, 16,567.92 and 7,291.16 is: 10,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.96 : 16,567.92 = 7,291.16 : x
  2. Step 2: Convert to fraction form
    12,006.96/16,567.92 = 7,291.16/x
  3. Step 3: Cross multiply
    12,006.96x = 16,567.92 × 7,291.16
  4. Step 4: Simplify right side
    12,006.96x = 120,799,355.59
  5. Step 5: Solve for x
    x = 120,799,355.59/12,006.96
  6. Step 6: Final answer
    x = 10,060.78

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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.