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Finding the Fourth Proportional to 7,008.72, 9,672.48 and 3,865.20

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Solution

The fourth proportional to 7,008.72, 9,672.48 and 3,865.20 is: 5,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.72 : 9,672.48 = 3,865.20 : x
  2. Step 2: Convert to fraction form
    7,008.72/9,672.48 = 3,865.20/x
  3. Step 3: Cross multiply
    7,008.72x = 9,672.48 × 3,865.20
  4. Step 4: Simplify right side
    7,008.72x = 37,386,069.70
  5. Step 5: Solve for x
    x = 37,386,069.70/7,008.72
  6. Step 6: Final answer
    x = 5,334.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.