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Finding the Fourth Proportional to 10,635.32, 15,928.26 and 10,266.20

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Solution

The fourth proportional to 10,635.32, 15,928.26 and 10,266.20 is: 15,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.32 : 15,928.26 = 10,266.20 : x
  2. Step 2: Convert to fraction form
    10,635.32/15,928.26 = 10,266.20/x
  3. Step 3: Cross multiply
    10,635.32x = 15,928.26 × 10,266.20
  4. Step 4: Simplify right side
    10,635.32x = 163,522,702.81
  5. Step 5: Solve for x
    x = 163,522,702.81/10,635.32
  6. Step 6: Final answer
    x = 15,375.44

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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.