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Finding the Fourth Proportional to 10,448.64, 15,672.90 and 2,658.06

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Solution

The fourth proportional to 10,448.64, 15,672.90 and 2,658.06 is: 3,987.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.64 : 15,672.90 = 2,658.06 : x
  2. Step 2: Convert to fraction form
    10,448.64/15,672.90 = 2,658.06/x
  3. Step 3: Cross multiply
    10,448.64x = 15,672.90 × 2,658.06
  4. Step 4: Simplify right side
    10,448.64x = 41,659,508.57
  5. Step 5: Solve for x
    x = 41,659,508.57/10,448.64
  6. Step 6: Final answer
    x = 3,987.07

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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.