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Finding the Fourth Proportional to 10,678.87, 14,737.42 and 6,141.50

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Solution

The fourth proportional to 10,678.87, 14,737.42 and 6,141.50 is: 8,475.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.87 : 14,737.42 = 6,141.50 : x
  2. Step 2: Convert to fraction form
    10,678.87/14,737.42 = 6,141.50/x
  3. Step 3: Cross multiply
    10,678.87x = 14,737.42 × 6,141.50
  4. Step 4: Simplify right side
    10,678.87x = 90,509,864.93
  5. Step 5: Solve for x
    x = 90,509,864.93/10,678.87
  6. Step 6: Final answer
    x = 8,475.60

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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.