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Finding the Fourth Proportional to 10,200.32, 15,301.84 and 4,276.28

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Solution

The fourth proportional to 10,200.32, 15,301.84 and 4,276.28 is: 6,414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.32 : 15,301.84 = 4,276.28 : x
  2. Step 2: Convert to fraction form
    10,200.32/15,301.84 = 4,276.28/x
  3. Step 3: Cross multiply
    10,200.32x = 15,301.84 × 4,276.28
  4. Step 4: Simplify right side
    10,200.32x = 65,434,865.16
  5. Step 5: Solve for x
    x = 65,434,865.16/10,200.32
  6. Step 6: Final answer
    x = 6,414.98

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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.