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Finding the Fourth Proportional to 7,909.43, 11,864.14 and 5,436.77

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Solution

The fourth proportional to 7,909.43, 11,864.14 and 5,436.77 is: 8,155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.43 : 11,864.14 = 5,436.77 : x
  2. Step 2: Convert to fraction form
    7,909.43/11,864.14 = 5,436.77/x
  3. Step 3: Cross multiply
    7,909.43x = 11,864.14 × 5,436.77
  4. Step 4: Simplify right side
    7,909.43x = 64,502,527.52
  5. Step 5: Solve for x
    x = 64,502,527.52/7,909.43
  6. Step 6: Final answer
    x = 8,155.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.