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Finding the Fourth Proportional to 10,439.77, 15,657.99 and 3,864.46

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Solution

The fourth proportional to 10,439.77, 15,657.99 and 3,864.46 is: 5,796.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439.77 : 15,657.99 = 3,864.46 : x
  2. Step 2: Convert to fraction form
    10,439.77/15,657.99 = 3,864.46/x
  3. Step 3: Cross multiply
    10,439.77x = 15,657.99 × 3,864.46
  4. Step 4: Simplify right side
    10,439.77x = 60,509,676.04
  5. Step 5: Solve for x
    x = 60,509,676.04/10,439.77
  6. Step 6: Final answer
    x = 5,796.07

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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.