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Finding the Fourth Proportional to 11,149.55, 15,386.16 and 6,113.78

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Solution

The fourth proportional to 11,149.55, 15,386.16 and 6,113.78 is: 8,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.55 : 15,386.16 = 6,113.78 : x
  2. Step 2: Convert to fraction form
    11,149.55/15,386.16 = 6,113.78/x
  3. Step 3: Cross multiply
    11,149.55x = 15,386.16 × 6,113.78
  4. Step 4: Simplify right side
    11,149.55x = 94,067,597.28
  5. Step 5: Solve for x
    x = 94,067,597.28/11,149.55
  6. Step 6: Final answer
    x = 8,436.90

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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.