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Finding the Fourth Proportional to 8,275.12, 11,419.68 and 4,549.12

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Solution

The fourth proportional to 8,275.12, 11,419.68 and 4,549.12 is: 6,277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.12 : 11,419.68 = 4,549.12 : x
  2. Step 2: Convert to fraction form
    8,275.12/11,419.68 = 4,549.12/x
  3. Step 3: Cross multiply
    8,275.12x = 11,419.68 × 4,549.12
  4. Step 4: Simplify right side
    8,275.12x = 51,949,494.68
  5. Step 5: Solve for x
    x = 51,949,494.68/8,275.12
  6. Step 6: Final answer
    x = 6,277.79

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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.