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Finding the Fourth Proportional to 11,527.86, 15,909.98 and 6,749.26

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Solution

The fourth proportional to 11,527.86, 15,909.98 and 6,749.26 is: 9,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.86 : 15,909.98 = 6,749.26 : x
  2. Step 2: Convert to fraction form
    11,527.86/15,909.98 = 6,749.26/x
  3. Step 3: Cross multiply
    11,527.86x = 15,909.98 × 6,749.26
  4. Step 4: Simplify right side
    11,527.86x = 107,380,591.61
  5. Step 5: Solve for x
    x = 107,380,591.61/11,527.86
  6. Step 6: Final answer
    x = 9,314.88

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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.