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Finding the Fourth Proportional to 11,084.86, 15,297.16 and 6,049.20

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Solution

The fourth proportional to 11,084.86, 15,297.16 and 6,049.20 is: 8,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,084.86 : 15,297.16 = 6,049.20 : x
  2. Step 2: Convert to fraction form
    11,084.86/15,297.16 = 6,049.20/x
  3. Step 3: Cross multiply
    11,084.86x = 15,297.16 × 6,049.20
  4. Step 4: Simplify right side
    11,084.86x = 92,535,479.27
  5. Step 5: Solve for x
    x = 92,535,479.27/11,084.86
  6. Step 6: Final answer
    x = 8,347.91

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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.