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Finding the Fourth Proportional to 8,764.64, 13,139.15 and 3,216.71

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Solution

The fourth proportional to 8,764.64, 13,139.15 and 3,216.71 is: 4,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764.64 : 13,139.15 = 3,216.71 : x
  2. Step 2: Convert to fraction form
    8,764.64/13,139.15 = 3,216.71/x
  3. Step 3: Cross multiply
    8,764.64x = 13,139.15 × 3,216.71
  4. Step 4: Simplify right side
    8,764.64x = 42,264,769.50
  5. Step 5: Solve for x
    x = 42,264,769.50/8,764.64
  6. Step 6: Final answer
    x = 4,822.19

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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.