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Finding the Fourth Proportional to 11,375.09, 15,698.78 and 6,340.13

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Solution

The fourth proportional to 11,375.09, 15,698.78 and 6,340.13 is: 8,750.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.09 : 15,698.78 = 6,340.13 : x
  2. Step 2: Convert to fraction form
    11,375.09/15,698.78 = 6,340.13/x
  3. Step 3: Cross multiply
    11,375.09x = 15,698.78 × 6,340.13
  4. Step 4: Simplify right side
    11,375.09x = 99,532,306.04
  5. Step 5: Solve for x
    x = 99,532,306.04/11,375.09
  6. Step 6: Final answer
    x = 8,750.02

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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.