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Finding the Fourth Proportional to 8,317.68, 12,472.35 and 2,769.07

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Solution

The fourth proportional to 8,317.68, 12,472.35 and 2,769.07 is: 4,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.68 : 12,472.35 = 2,769.07 : x
  2. Step 2: Convert to fraction form
    8,317.68/12,472.35 = 2,769.07/x
  3. Step 3: Cross multiply
    8,317.68x = 12,472.35 × 2,769.07
  4. Step 4: Simplify right side
    8,317.68x = 34,536,810.21
  5. Step 5: Solve for x
    x = 34,536,810.21/8,317.68
  6. Step 6: Final answer
    x = 4,152.22

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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.