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Finding the Fourth Proportional to 7,737.60, 10,680.48 and 5,049.12

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Solution

The fourth proportional to 7,737.60, 10,680.48 and 5,049.12 is: 6,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.60 : 10,680.48 = 5,049.12 : x
  2. Step 2: Convert to fraction form
    7,737.60/10,680.48 = 5,049.12/x
  3. Step 3: Cross multiply
    7,737.60x = 10,680.48 × 5,049.12
  4. Step 4: Simplify right side
    7,737.60x = 53,927,025.18
  5. Step 5: Solve for x
    x = 53,927,025.18/7,737.60
  6. Step 6: Final answer
    x = 6,969.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.