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Finding the Fourth Proportional to 8,559.48, 12,838.52 and 2,319.78

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Solution

The fourth proportional to 8,559.48, 12,838.52 and 2,319.78 is: 3,479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,559.48 : 12,838.52 = 2,319.78 : x
  2. Step 2: Convert to fraction form
    8,559.48/12,838.52 = 2,319.78/x
  3. Step 3: Cross multiply
    8,559.48x = 12,838.52 × 2,319.78
  4. Step 4: Simplify right side
    8,559.48x = 29,782,541.93
  5. Step 5: Solve for x
    x = 29,782,541.93/8,559.48
  6. Step 6: Final answer
    x = 3,479.48

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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.