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Finding the Fourth Proportional to 8,278.22, 12,417.32 and 5,824.02

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Solution

The fourth proportional to 8,278.22, 12,417.32 and 5,824.02 is: 8,736.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.22 : 12,417.32 = 5,824.02 : x
  2. Step 2: Convert to fraction form
    8,278.22/12,417.32 = 5,824.02/x
  3. Step 3: Cross multiply
    8,278.22x = 12,417.32 × 5,824.02
  4. Step 4: Simplify right side
    8,278.22x = 72,318,734.59
  5. Step 5: Solve for x
    x = 72,318,734.59/8,278.22
  6. Step 6: Final answer
    x = 8,736.03

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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.