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Finding the Fourth Proportional to 11,586.98, 15,989.40 and 6,550.90

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Solution

The fourth proportional to 11,586.98, 15,989.40 and 6,550.90 is: 9,039.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.98 : 15,989.40 = 6,550.90 : x
  2. Step 2: Convert to fraction form
    11,586.98/15,989.40 = 6,550.90/x
  3. Step 3: Cross multiply
    11,586.98x = 15,989.40 × 6,550.90
  4. Step 4: Simplify right side
    11,586.98x = 104,744,920.49
  5. Step 5: Solve for x
    x = 104,744,920.49/11,586.98
  6. Step 6: Final answer
    x = 9,039.88

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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.