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Finding the Fourth Proportional to 10,600.64, 15,908.25 and 3,675.14

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Solution

The fourth proportional to 10,600.64, 15,908.25 and 3,675.14 is: 5,515.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.64 : 15,908.25 = 3,675.14 : x
  2. Step 2: Convert to fraction form
    10,600.64/15,908.25 = 3,675.14/x
  3. Step 3: Cross multiply
    10,600.64x = 15,908.25 × 3,675.14
  4. Step 4: Simplify right side
    10,600.64x = 58,465,062.74
  5. Step 5: Solve for x
    x = 58,465,062.74/10,600.64
  6. Step 6: Final answer
    x = 5,515.24

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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.