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Finding the Fourth Proportional to 10,536.80, 15,793.92 and 5,261.40

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Solution

The fourth proportional to 10,536.80, 15,793.92 and 5,261.40 is: 7,886.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.80 : 15,793.92 = 5,261.40 : x
  2. Step 2: Convert to fraction form
    10,536.80/15,793.92 = 5,261.40/x
  3. Step 3: Cross multiply
    10,536.80x = 15,793.92 × 5,261.40
  4. Step 4: Simplify right side
    10,536.80x = 83,098,130.69
  5. Step 5: Solve for x
    x = 83,098,130.69/10,536.80
  6. Step 6: Final answer
    x = 7,886.47

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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.