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Finding the Fourth Proportional to 10,265.44, 15,402.20 and 5,338.16

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Solution

The fourth proportional to 10,265.44, 15,402.20 and 5,338.16 is: 8,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.44 : 15,402.20 = 5,338.16 : x
  2. Step 2: Convert to fraction form
    10,265.44/15,402.20 = 5,338.16/x
  3. Step 3: Cross multiply
    10,265.44x = 15,402.20 × 5,338.16
  4. Step 4: Simplify right side
    10,265.44x = 82,219,407.95
  5. Step 5: Solve for x
    x = 82,219,407.95/10,265.44
  6. Step 6: Final answer
    x = 8,009.34

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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.