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Finding the Fourth Proportional to 11,149.86, 15,378.75 and 9,468.62

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Solution

The fourth proportional to 11,149.86, 15,378.75 and 9,468.62 is: 13,059.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.86 : 15,378.75 = 9,468.62 : x
  2. Step 2: Convert to fraction form
    11,149.86/15,378.75 = 9,468.62/x
  3. Step 3: Cross multiply
    11,149.86x = 15,378.75 × 9,468.62
  4. Step 4: Simplify right side
    11,149.86x = 145,615,462.93
  5. Step 5: Solve for x
    x = 145,615,462.93/11,149.86
  6. Step 6: Final answer
    x = 13,059.85

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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.