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Finding the Fourth Proportional to 7,727.60, 11,591.40 and 7,425.20

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Solution

The fourth proportional to 7,727.60, 11,591.40 and 7,425.20 is: 11,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.60 : 11,591.40 = 7,425.20 : x
  2. Step 2: Convert to fraction form
    7,727.60/11,591.40 = 7,425.20/x
  3. Step 3: Cross multiply
    7,727.60x = 11,591.40 × 7,425.20
  4. Step 4: Simplify right side
    7,727.60x = 86,068,463.28
  5. Step 5: Solve for x
    x = 86,068,463.28/7,727.60
  6. Step 6: Final answer
    x = 11,137.80

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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.