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Finding the Fourth Proportional to 10,071.47, 15,091.67 and 5,392.10

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Solution

The fourth proportional to 10,071.47, 15,091.67 and 5,392.10 is: 8,079.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.47 : 15,091.67 = 5,392.10 : x
  2. Step 2: Convert to fraction form
    10,071.47/15,091.67 = 5,392.10/x
  3. Step 3: Cross multiply
    10,071.47x = 15,091.67 × 5,392.10
  4. Step 4: Simplify right side
    10,071.47x = 81,375,793.81
  5. Step 5: Solve for x
    x = 81,375,793.81/10,071.47
  6. Step 6: Final answer
    x = 8,079.83

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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.