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Finding the Fourth Proportional to 11,216.24, 15,478.72 and 6,248.24

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Solution

The fourth proportional to 11,216.24, 15,478.72 and 6,248.24 is: 8,622.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.24 : 15,478.72 = 6,248.24 : x
  2. Step 2: Convert to fraction form
    11,216.24/15,478.72 = 6,248.24/x
  3. Step 3: Cross multiply
    11,216.24x = 15,478.72 × 6,248.24
  4. Step 4: Simplify right side
    11,216.24x = 96,714,757.45
  5. Step 5: Solve for x
    x = 96,714,757.45/11,216.24
  6. Step 6: Final answer
    x = 8,622.74

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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.