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Finding the Fourth Proportional to 8,264.54, 12,396.90 and 5,803.22

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Solution

The fourth proportional to 8,264.54, 12,396.90 and 5,803.22 is: 8,704.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.54 : 12,396.90 = 5,803.22 : x
  2. Step 2: Convert to fraction form
    8,264.54/12,396.90 = 5,803.22/x
  3. Step 3: Cross multiply
    8,264.54x = 12,396.90 × 5,803.22
  4. Step 4: Simplify right side
    8,264.54x = 71,941,938.02
  5. Step 5: Solve for x
    x = 71,941,938.02/8,264.54
  6. Step 6: Final answer
    x = 8,704.89

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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.