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Finding the Fourth Proportional to 10,884.88, 15,017.76 and 6,407.20

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Solution

The fourth proportional to 10,884.88, 15,017.76 and 6,407.20 is: 8,839.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,884.88 : 15,017.76 = 6,407.20 : x
  2. Step 2: Convert to fraction form
    10,884.88/15,017.76 = 6,407.20/x
  3. Step 3: Cross multiply
    10,884.88x = 15,017.76 × 6,407.20
  4. Step 4: Simplify right side
    10,884.88x = 96,221,791.87
  5. Step 5: Solve for x
    x = 96,221,791.87/10,884.88
  6. Step 6: Final answer
    x = 8,839.95

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