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Finding the Fourth Proportional to 10,417.68, 15,628.44 and 3,494.16

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Solution

The fourth proportional to 10,417.68, 15,628.44 and 3,494.16 is: 5,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.68 : 15,628.44 = 3,494.16 : x
  2. Step 2: Convert to fraction form
    10,417.68/15,628.44 = 3,494.16/x
  3. Step 3: Cross multiply
    10,417.68x = 15,628.44 × 3,494.16
  4. Step 4: Simplify right side
    10,417.68x = 54,608,269.91
  5. Step 5: Solve for x
    x = 54,608,269.91/10,417.68
  6. Step 6: Final answer
    x = 5,241.88

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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.