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Finding the Fourth Proportional to 11,586.95, 15,990.01 and 6,281.78

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Solution

The fourth proportional to 11,586.95, 15,990.01 and 6,281.78 is: 8,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.95 : 15,990.01 = 6,281.78 : x
  2. Step 2: Convert to fraction form
    11,586.95/15,990.01 = 6,281.78/x
  3. Step 3: Cross multiply
    11,586.95x = 15,990.01 × 6,281.78
  4. Step 4: Simplify right side
    11,586.95x = 100,445,674.34
  5. Step 5: Solve for x
    x = 100,445,674.34/11,586.95
  6. Step 6: Final answer
    x = 8,668.86

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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.