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Finding the Fourth Proportional to 10,108.60, 15,146.70 and 6,404.20

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Solution

The fourth proportional to 10,108.60, 15,146.70 and 6,404.20 is: 9,596.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108.60 : 15,146.70 = 6,404.20 : x
  2. Step 2: Convert to fraction form
    10,108.60/15,146.70 = 6,404.20/x
  3. Step 3: Cross multiply
    10,108.60x = 15,146.70 × 6,404.20
  4. Step 4: Simplify right side
    10,108.60x = 97,002,496.14
  5. Step 5: Solve for x
    x = 97,002,496.14/10,108.60
  6. Step 6: Final answer
    x = 9,596.04

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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.