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Finding the Fourth Proportional to 11,527.72, 15,909.54 and 6,813.16

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Solution

The fourth proportional to 11,527.72, 15,909.54 and 6,813.16 is: 9,402.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.72 : 15,909.54 = 6,813.16 : x
  2. Step 2: Convert to fraction form
    11,527.72/15,909.54 = 6,813.16/x
  3. Step 3: Cross multiply
    11,527.72x = 15,909.54 × 6,813.16
  4. Step 4: Simplify right side
    11,527.72x = 108,394,241.55
  5. Step 5: Solve for x
    x = 108,394,241.55/11,527.72
  6. Step 6: Final answer
    x = 9,402.92

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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.