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Finding the Fourth Proportional to 8,601.63, 12,902.46 and 2,445.63

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Solution

The fourth proportional to 8,601.63, 12,902.46 and 2,445.63 is: 3,668.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.63 : 12,902.46 = 2,445.63 : x
  2. Step 2: Convert to fraction form
    8,601.63/12,902.46 = 2,445.63/x
  3. Step 3: Cross multiply
    8,601.63x = 12,902.46 × 2,445.63
  4. Step 4: Simplify right side
    8,601.63x = 31,554,643.25
  5. Step 5: Solve for x
    x = 31,554,643.25/8,601.63
  6. Step 6: Final answer
    x = 3,668.45

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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.