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Finding the Fourth Proportional to 11,456.56, 15,809.88 and 6,421.12

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Solution

The fourth proportional to 11,456.56, 15,809.88 and 6,421.12 is: 8,861.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.56 : 15,809.88 = 6,421.12 : x
  2. Step 2: Convert to fraction form
    11,456.56/15,809.88 = 6,421.12/x
  3. Step 3: Cross multiply
    11,456.56x = 15,809.88 × 6,421.12
  4. Step 4: Simplify right side
    11,456.56x = 101,517,136.67
  5. Step 5: Solve for x
    x = 101,517,136.67/11,456.56
  6. Step 6: Final answer
    x = 8,861.05

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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.