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Finding the Fourth Proportional to 11,149.80, 15,387 and 6,114.24

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Solution

The fourth proportional to 11,149.80, 15,387 and 6,114.24 is: 8,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.80 : 15,387 = 6,114.24 : x
  2. Step 2: Convert to fraction form
    11,149.80/15,387 = 6,114.24/x
  3. Step 3: Cross multiply
    11,149.80x = 15,387 × 6,114.24
  4. Step 4: Simplify right side
    11,149.80x = 94,079,810.88
  5. Step 5: Solve for x
    x = 94,079,810.88/11,149.80
  6. Step 6: Final answer
    x = 8,437.80

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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.