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Finding the Fourth Proportional to 8,497.52, 12,746.34 and 2,574.42

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Solution

The fourth proportional to 8,497.52, 12,746.34 and 2,574.42 is: 3,861.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.52 : 12,746.34 = 2,574.42 : x
  2. Step 2: Convert to fraction form
    8,497.52/12,746.34 = 2,574.42/x
  3. Step 3: Cross multiply
    8,497.52x = 12,746.34 × 2,574.42
  4. Step 4: Simplify right side
    8,497.52x = 32,814,432.62
  5. Step 5: Solve for x
    x = 32,814,432.62/8,497.52
  6. Step 6: Final answer
    x = 3,861.65

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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.