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Finding the Fourth Proportional to 7,977.60, 11,957.76 and 5,057.28

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Solution

The fourth proportional to 7,977.60, 11,957.76 and 5,057.28 is: 7,580.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.60 : 11,957.76 = 5,057.28 : x
  2. Step 2: Convert to fraction form
    7,977.60/11,957.76 = 5,057.28/x
  3. Step 3: Cross multiply
    7,977.60x = 11,957.76 × 5,057.28
  4. Step 4: Simplify right side
    7,977.60x = 60,473,740.49
  5. Step 5: Solve for x
    x = 60,473,740.49/7,977.60
  6. Step 6: Final answer
    x = 7,580.44

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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.