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Finding the Fourth Proportional to 11,245.68, 15,519.12 and 6,209.76

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Solution

The fourth proportional to 11,245.68, 15,519.12 and 6,209.76 is: 8,569.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,245.68 : 15,519.12 = 6,209.76 : x
  2. Step 2: Convert to fraction form
    11,245.68/15,519.12 = 6,209.76/x
  3. Step 3: Cross multiply
    11,245.68x = 15,519.12 × 6,209.76
  4. Step 4: Simplify right side
    11,245.68x = 96,370,010.61
  5. Step 5: Solve for x
    x = 96,370,010.61/11,245.68
  6. Step 6: Final answer
    x = 8,569.51

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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.