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Finding the Fourth Proportional to 11,909.14, 16,425.13 and 7,660.69

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Solution

The fourth proportional to 11,909.14, 16,425.13 and 7,660.69 is: 10,565.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.14 : 16,425.13 = 7,660.69 : x
  2. Step 2: Convert to fraction form
    11,909.14/16,425.13 = 7,660.69/x
  3. Step 3: Cross multiply
    11,909.14x = 16,425.13 × 7,660.69
  4. Step 4: Simplify right side
    11,909.14x = 125,827,829.14
  5. Step 5: Solve for x
    x = 125,827,829.14/11,909.14
  6. Step 6: Final answer
    x = 10,565.65

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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.