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Finding the Fourth Proportional to 10,439.76, 15,662.04 and 4,596.82

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Solution

The fourth proportional to 10,439.76, 15,662.04 and 4,596.82 is: 6,896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439.76 : 15,662.04 = 4,596.82 : x
  2. Step 2: Convert to fraction form
    10,439.76/15,662.04 = 4,596.82/x
  3. Step 3: Cross multiply
    10,439.76x = 15,662.04 × 4,596.82
  4. Step 4: Simplify right side
    10,439.76x = 71,995,578.71
  5. Step 5: Solve for x
    x = 71,995,578.71/10,439.76
  6. Step 6: Final answer
    x = 6,896.29

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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.