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Finding the Fourth Proportional to 7,737.84, 10,678.87 and 4,381.24

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Solution

The fourth proportional to 7,737.84, 10,678.87 and 4,381.24 is: 6,046.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.84 : 10,678.87 = 4,381.24 : x
  2. Step 2: Convert to fraction form
    7,737.84/10,678.87 = 4,381.24/x
  3. Step 3: Cross multiply
    7,737.84x = 10,678.87 × 4,381.24
  4. Step 4: Simplify right side
    7,737.84x = 46,786,703.35
  5. Step 5: Solve for x
    x = 46,786,703.35/7,737.84
  6. Step 6: Final answer
    x = 6,046.49

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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.