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Finding the Fourth Proportional to 8,199.44, 12,277.88 and 5,417.64

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Solution

The fourth proportional to 8,199.44, 12,277.88 and 5,417.64 is: 8,112.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.44 : 12,277.88 = 5,417.64 : x
  2. Step 2: Convert to fraction form
    8,199.44/12,277.88 = 5,417.64/x
  3. Step 3: Cross multiply
    8,199.44x = 12,277.88 × 5,417.64
  4. Step 4: Simplify right side
    8,199.44x = 66,517,133.80
  5. Step 5: Solve for x
    x = 66,517,133.80/8,199.44
  6. Step 6: Final answer
    x = 8,112.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.