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Finding the Fourth Proportional to 10,542.96, 15,803.42 and 4,989.69

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Solution

The fourth proportional to 10,542.96, 15,803.42 and 4,989.69 is: 7,479.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.96 : 15,803.42 = 4,989.69 : x
  2. Step 2: Convert to fraction form
    10,542.96/15,803.42 = 4,989.69/x
  3. Step 3: Cross multiply
    10,542.96x = 15,803.42 × 4,989.69
  4. Step 4: Simplify right side
    10,542.96x = 78,854,179.21
  5. Step 5: Solve for x
    x = 78,854,179.21/10,542.96
  6. Step 6: Final answer
    x = 7,479.32

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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.