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Finding the Fourth Proportional to 10,105.83, 15,153.54 and 5,429.78

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Solution

The fourth proportional to 10,105.83, 15,153.54 and 5,429.78 is: 8,141.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.83 : 15,153.54 = 5,429.78 : x
  2. Step 2: Convert to fraction form
    10,105.83/15,153.54 = 5,429.78/x
  3. Step 3: Cross multiply
    10,105.83x = 15,153.54 × 5,429.78
  4. Step 4: Simplify right side
    10,105.83x = 82,280,312.65
  5. Step 5: Solve for x
    x = 82,280,312.65/10,105.83
  6. Step 6: Final answer
    x = 8,141.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.