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Finding the Fourth Proportional to 8,321.57, 12,478.16 and 2,772.93

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Solution

The fourth proportional to 8,321.57, 12,478.16 and 2,772.93 is: 4,158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.57 : 12,478.16 = 2,772.93 : x
  2. Step 2: Convert to fraction form
    8,321.57/12,478.16 = 2,772.93/x
  3. Step 3: Cross multiply
    8,321.57x = 12,478.16 × 2,772.93
  4. Step 4: Simplify right side
    8,321.57x = 34,601,064.21
  5. Step 5: Solve for x
    x = 34,601,064.21/8,321.57
  6. Step 6: Final answer
    x = 4,158.00

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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.