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Finding the Fourth Proportional to 10,086.55, 15,129.83 and 4,538.86

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Solution

The fourth proportional to 10,086.55, 15,129.83 and 4,538.86 is: 6,808.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.55 : 15,129.83 = 4,538.86 : x
  2. Step 2: Convert to fraction form
    10,086.55/15,129.83 = 4,538.86/x
  3. Step 3: Cross multiply
    10,086.55x = 15,129.83 × 4,538.86
  4. Step 4: Simplify right side
    10,086.55x = 68,672,153.72
  5. Step 5: Solve for x
    x = 68,672,153.72/10,086.55
  6. Step 6: Final answer
    x = 6,808.29

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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.