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Finding the Fourth Proportional to 10,071.76, 15,103.86 and 8,092.52

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Solution

The fourth proportional to 10,071.76, 15,103.86 and 8,092.52 is: 12,135.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.76 : 15,103.86 = 8,092.52 : x
  2. Step 2: Convert to fraction form
    10,071.76/15,103.86 = 8,092.52/x
  3. Step 3: Cross multiply
    10,071.76x = 15,103.86 × 8,092.52
  4. Step 4: Simplify right side
    10,071.76x = 122,228,289.13
  5. Step 5: Solve for x
    x = 122,228,289.13/10,071.76
  6. Step 6: Final answer
    x = 12,135.74

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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.