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Finding the Fourth Proportional to 7,687.20, 11,586.18 and 7,687.20

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Solution

The fourth proportional to 7,687.20, 11,586.18 and 7,687.20 is: 11,586.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.20 : 11,586.18 = 7,687.20 : x
  2. Step 2: Convert to fraction form
    7,687.20/11,586.18 = 7,687.20/x
  3. Step 3: Cross multiply
    7,687.20x = 11,586.18 × 7,687.20
  4. Step 4: Simplify right side
    7,687.20x = 89,065,282.90
  5. Step 5: Solve for x
    x = 89,065,282.90/7,687.20
  6. Step 6: Final answer
    x = 11,586.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.