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Finding the Fourth Proportional to 10,410.96, 15,616.44 and 3,486

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Solution

The fourth proportional to 10,410.96, 15,616.44 and 3,486 is: 5,229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.96 : 15,616.44 = 3,486 : x
  2. Step 2: Convert to fraction form
    10,410.96/15,616.44 = 3,486/x
  3. Step 3: Cross multiply
    10,410.96x = 15,616.44 × 3,486
  4. Step 4: Simplify right side
    10,410.96x = 54,438,909.84
  5. Step 5: Solve for x
    x = 54,438,909.84/10,410.96
  6. Step 6: Final answer
    x = 5,229.00

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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.