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Finding the Fourth Proportional to 10,101.98, 15,120.65 and 5,410.30

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Solution

The fourth proportional to 10,101.98, 15,120.65 and 5,410.30 is: 8,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.98 : 15,120.65 = 5,410.30 : x
  2. Step 2: Convert to fraction form
    10,101.98/15,120.65 = 5,410.30/x
  3. Step 3: Cross multiply
    10,101.98x = 15,120.65 × 5,410.30
  4. Step 4: Simplify right side
    10,101.98x = 81,807,252.70
  5. Step 5: Solve for x
    x = 81,807,252.70/10,101.98
  6. Step 6: Final answer
    x = 8,098.14

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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.