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Finding the Fourth Proportional to 8,129.60, 10,940.32 and 8,129.60

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Solution

The fourth proportional to 8,129.60, 10,940.32 and 8,129.60 is: 10,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.60 : 10,940.32 = 8,129.60 : x
  2. Step 2: Convert to fraction form
    8,129.60/10,940.32 = 8,129.60/x
  3. Step 3: Cross multiply
    8,129.60x = 10,940.32 × 8,129.60
  4. Step 4: Simplify right side
    8,129.60x = 88,940,425.47
  5. Step 5: Solve for x
    x = 88,940,425.47/8,129.60
  6. Step 6: Final answer
    x = 10,940.32

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.