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Finding the Fourth Proportional to 7,115.74, 9,818.04 and 4,129.84

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Solution

The fourth proportional to 7,115.74, 9,818.04 and 4,129.84 is: 5,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.74 : 9,818.04 = 4,129.84 : x
  2. Step 2: Convert to fraction form
    7,115.74/9,818.04 = 4,129.84/x
  3. Step 3: Cross multiply
    7,115.74x = 9,818.04 × 4,129.84
  4. Step 4: Simplify right side
    7,115.74x = 40,546,934.31
  5. Step 5: Solve for x
    x = 40,546,934.31/7,115.74
  6. Step 6: Final answer
    x = 5,698.20

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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.