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Finding the Fourth Proportional to 10,423.65, 15,635.49 and 5,228.31

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Solution

The fourth proportional to 10,423.65, 15,635.49 and 5,228.31 is: 7,842.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.65 : 15,635.49 = 5,228.31 : x
  2. Step 2: Convert to fraction form
    10,423.65/15,635.49 = 5,228.31/x
  3. Step 3: Cross multiply
    10,423.65x = 15,635.49 × 5,228.31
  4. Step 4: Simplify right side
    10,423.65x = 81,747,188.72
  5. Step 5: Solve for x
    x = 81,747,188.72/10,423.65
  6. Step 6: Final answer
    x = 7,842.47

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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.