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Finding the Fourth Proportional to 10,330.12, 15,493.02 and 3,403

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Solution

The fourth proportional to 10,330.12, 15,493.02 and 3,403 is: 5,103.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,330.12 : 15,493.02 = 3,403 : x
  2. Step 2: Convert to fraction form
    10,330.12/15,493.02 = 3,403/x
  3. Step 3: Cross multiply
    10,330.12x = 15,493.02 × 3,403
  4. Step 4: Simplify right side
    10,330.12x = 52,722,747.06
  5. Step 5: Solve for x
    x = 52,722,747.06/10,330.12
  6. Step 6: Final answer
    x = 5,103.79

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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.