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Finding the Fourth Proportional to 7,658.74, 11,486.64 and 2,728.36

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Solution

The fourth proportional to 7,658.74, 11,486.64 and 2,728.36 is: 4,092.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.74 : 11,486.64 = 2,728.36 : x
  2. Step 2: Convert to fraction form
    7,658.74/11,486.64 = 2,728.36/x
  3. Step 3: Cross multiply
    7,658.74x = 11,486.64 × 2,728.36
  4. Step 4: Simplify right side
    7,658.74x = 31,339,689.11
  5. Step 5: Solve for x
    x = 31,339,689.11/7,658.74
  6. Step 6: Final answer
    x = 4,092.02

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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.