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Finding the Fourth Proportional to 8,761.20, 13,109.80 and 6,457.20

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Solution

The fourth proportional to 8,761.20, 13,109.80 and 6,457.20 is: 9,662.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.20 : 13,109.80 = 6,457.20 : x
  2. Step 2: Convert to fraction form
    8,761.20/13,109.80 = 6,457.20/x
  3. Step 3: Cross multiply
    8,761.20x = 13,109.80 × 6,457.20
  4. Step 4: Simplify right side
    8,761.20x = 84,652,600.56
  5. Step 5: Solve for x
    x = 84,652,600.56/8,761.20
  6. Step 6: Final answer
    x = 9,662.22

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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.