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Finding the Fourth Proportional to 7,737.99, 10,679.09 and 4,381.40

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Solution

The fourth proportional to 7,737.99, 10,679.09 and 4,381.40 is: 6,046.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.99 : 10,679.09 = 4,381.40 : x
  2. Step 2: Convert to fraction form
    7,737.99/10,679.09 = 4,381.40/x
  3. Step 3: Cross multiply
    7,737.99x = 10,679.09 × 4,381.40
  4. Step 4: Simplify right side
    7,737.99x = 46,789,311.53
  5. Step 5: Solve for x
    x = 46,789,311.53/7,737.99
  6. Step 6: Final answer
    x = 6,046.70

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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.