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Finding the Fourth Proportional to 8,583.44, 12,862.92 and 5,074.16

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Solution

The fourth proportional to 8,583.44, 12,862.92 and 5,074.16 is: 7,604.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.44 : 12,862.92 = 5,074.16 : x
  2. Step 2: Convert to fraction form
    8,583.44/12,862.92 = 5,074.16/x
  3. Step 3: Cross multiply
    8,583.44x = 12,862.92 × 5,074.16
  4. Step 4: Simplify right side
    8,583.44x = 65,268,514.15
  5. Step 5: Solve for x
    x = 65,268,514.15/8,583.44
  6. Step 6: Final answer
    x = 7,604.00

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Why These Related Problems?

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