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Finding the Fourth Proportional to 8,536.73, 12,806.64 and 2,613.51

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Solution

The fourth proportional to 8,536.73, 12,806.64 and 2,613.51 is: 3,920.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.73 : 12,806.64 = 2,613.51 : x
  2. Step 2: Convert to fraction form
    8,536.73/12,806.64 = 2,613.51/x
  3. Step 3: Cross multiply
    8,536.73x = 12,806.64 × 2,613.51
  4. Step 4: Simplify right side
    8,536.73x = 33,470,281.71
  5. Step 5: Solve for x
    x = 33,470,281.71/8,536.73
  6. Step 6: Final answer
    x = 3,920.74

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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.