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Finding the Fourth Proportional to 10,987.76, 15,157.86 and 7,209.38

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Solution

The fourth proportional to 10,987.76, 15,157.86 and 7,209.38 is: 9,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,987.76 : 15,157.86 = 7,209.38 : x
  2. Step 2: Convert to fraction form
    10,987.76/15,157.86 = 7,209.38/x
  3. Step 3: Cross multiply
    10,987.76x = 15,157.86 × 7,209.38
  4. Step 4: Simplify right side
    10,987.76x = 109,278,772.73
  5. Step 5: Solve for x
    x = 109,278,772.73/10,987.76
  6. Step 6: Final answer
    x = 9,945.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.