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Finding the Fourth Proportional to 10,586.91, 15,878.05 and 4,340.78

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Solution

The fourth proportional to 10,586.91, 15,878.05 and 4,340.78 is: 6,510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.91 : 15,878.05 = 4,340.78 : x
  2. Step 2: Convert to fraction form
    10,586.91/15,878.05 = 4,340.78/x
  3. Step 3: Cross multiply
    10,586.91x = 15,878.05 × 4,340.78
  4. Step 4: Simplify right side
    10,586.91x = 68,923,020.78
  5. Step 5: Solve for x
    x = 68,923,020.78/10,586.91
  6. Step 6: Final answer
    x = 6,510.21

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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.