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Finding the Fourth Proportional to 8,649.71, 12,974.57 and 2,806.77

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Solution

The fourth proportional to 8,649.71, 12,974.57 and 2,806.77 is: 4,210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.71 : 12,974.57 = 2,806.77 : x
  2. Step 2: Convert to fraction form
    8,649.71/12,974.57 = 2,806.77/x
  3. Step 3: Cross multiply
    8,649.71x = 12,974.57 × 2,806.77
  4. Step 4: Simplify right side
    8,649.71x = 36,416,633.84
  5. Step 5: Solve for x
    x = 36,416,633.84/8,649.71
  6. Step 6: Final answer
    x = 4,210.16

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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.