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Finding the Fourth Proportional to 11,689.52, 16,131.25 and 6,909.40

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Solution

The fourth proportional to 11,689.52, 16,131.25 and 6,909.40 is: 9,534.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.52 : 16,131.25 = 6,909.40 : x
  2. Step 2: Convert to fraction form
    11,689.52/16,131.25 = 6,909.40/x
  3. Step 3: Cross multiply
    11,689.52x = 16,131.25 × 6,909.40
  4. Step 4: Simplify right side
    11,689.52x = 111,457,287.55
  5. Step 5: Solve for x
    x = 111,457,287.55/11,689.52
  6. Step 6: Final answer
    x = 9,534.81

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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.