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Finding the Fourth Proportional to 7,737.83, 10,677.39 and 4,380.11

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Solution

The fourth proportional to 7,737.83, 10,677.39 and 4,380.11 is: 6,044.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.83 : 10,677.39 = 4,380.11 : x
  2. Step 2: Convert to fraction form
    7,737.83/10,677.39 = 4,380.11/x
  3. Step 3: Cross multiply
    7,737.83x = 10,677.39 × 4,380.11
  4. Step 4: Simplify right side
    7,737.83x = 46,768,142.71
  5. Step 5: Solve for x
    x = 46,768,142.71/7,737.83
  6. Step 6: Final answer
    x = 6,044.09

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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.