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Finding the Fourth Proportional to 8,506.32, 12,763.12 and 4,613.52

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Solution

The fourth proportional to 8,506.32, 12,763.12 and 4,613.52 is: 6,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.32 : 12,763.12 = 4,613.52 : x
  2. Step 2: Convert to fraction form
    8,506.32/12,763.12 = 4,613.52/x
  3. Step 3: Cross multiply
    8,506.32x = 12,763.12 × 4,613.52
  4. Step 4: Simplify right side
    8,506.32x = 58,882,909.38
  5. Step 5: Solve for x
    x = 58,882,909.38/8,506.32
  6. Step 6: Final answer
    x = 6,922.25

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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.