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Finding the Fourth Proportional to 10,410.80, 15,542.02 and 10,046.32

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Solution

The fourth proportional to 10,410.80, 15,542.02 and 10,046.32 is: 14,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.80 : 15,542.02 = 10,046.32 : x
  2. Step 2: Convert to fraction form
    10,410.80/15,542.02 = 10,046.32/x
  3. Step 3: Cross multiply
    10,410.80x = 15,542.02 × 10,046.32
  4. Step 4: Simplify right side
    10,410.80x = 156,140,106.37
  5. Step 5: Solve for x
    x = 156,140,106.37/10,410.80
  6. Step 6: Final answer
    x = 14,997.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.