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Finding the Fourth Proportional to 7,418.94, 11,141.14 and 6,587.88

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Solution

The fourth proportional to 7,418.94, 11,141.14 and 6,587.88 is: 9,893.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,418.94 : 11,141.14 = 6,587.88 : x
  2. Step 2: Convert to fraction form
    7,418.94/11,141.14 = 6,587.88/x
  3. Step 3: Cross multiply
    7,418.94x = 11,141.14 × 6,587.88
  4. Step 4: Simplify right side
    7,418.94x = 73,396,493.38
  5. Step 5: Solve for x
    x = 73,396,493.38/7,418.94
  6. Step 6: Final answer
    x = 9,893.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.