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Finding the Fourth Proportional to 7,737.75, 10,678.50 and 4,551.21

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Solution

The fourth proportional to 7,737.75, 10,678.50 and 4,551.21 is: 6,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.75 : 10,678.50 = 4,551.21 : x
  2. Step 2: Convert to fraction form
    7,737.75/10,678.50 = 4,551.21/x
  3. Step 3: Cross multiply
    7,737.75x = 10,678.50 × 4,551.21
  4. Step 4: Simplify right side
    7,737.75x = 48,600,095.99
  5. Step 5: Solve for x
    x = 48,600,095.99/7,737.75
  6. Step 6: Final answer
    x = 6,280.91

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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.