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Finding the Fourth Proportional to 7,658.46, 11,488.50 and 2,728.56

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Solution

The fourth proportional to 7,658.46, 11,488.50 and 2,728.56 is: 4,093.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.46 : 11,488.50 = 2,728.56 : x
  2. Step 2: Convert to fraction form
    7,658.46/11,488.50 = 2,728.56/x
  3. Step 3: Cross multiply
    7,658.46x = 11,488.50 × 2,728.56
  4. Step 4: Simplify right side
    7,658.46x = 31,347,061.56
  5. Step 5: Solve for x
    x = 31,347,061.56/7,658.46
  6. Step 6: Final answer
    x = 4,093.13

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Why These Related Problems?

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