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Finding the Fourth Proportional to 7,737.49, 10,678.40 and 4,380.90

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Solution

The fourth proportional to 7,737.49, 10,678.40 and 4,380.90 is: 6,046.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.49 : 10,678.40 = 4,380.90 : x
  2. Step 2: Convert to fraction form
    7,737.49/10,678.40 = 4,380.90/x
  3. Step 3: Cross multiply
    7,737.49x = 10,678.40 × 4,380.90
  4. Step 4: Simplify right side
    7,737.49x = 46,780,957.04
  5. Step 5: Solve for x
    x = 46,780,957.04/7,737.49
  6. Step 6: Final answer
    x = 6,046.01

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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.