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Finding the Fourth Proportional to 7,184.82, 9,915.89 and 4,042.02

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Solution

The fourth proportional to 7,184.82, 9,915.89 and 4,042.02 is: 5,578.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.82 : 9,915.89 = 4,042.02 : x
  2. Step 2: Convert to fraction form
    7,184.82/9,915.89 = 4,042.02/x
  3. Step 3: Cross multiply
    7,184.82x = 9,915.89 × 4,042.02
  4. Step 4: Simplify right side
    7,184.82x = 40,080,205.49
  5. Step 5: Solve for x
    x = 40,080,205.49/7,184.82
  6. Step 6: Final answer
    x = 5,578.46

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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.