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Finding the Fourth Proportional to 7,008.82, 9,672.38 and 3,865.21

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Solution

The fourth proportional to 7,008.82, 9,672.38 and 3,865.21 is: 5,334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.82 : 9,672.38 = 3,865.21 : x
  2. Step 2: Convert to fraction form
    7,008.82/9,672.38 = 3,865.21/x
  3. Step 3: Cross multiply
    7,008.82x = 9,672.38 × 3,865.21
  4. Step 4: Simplify right side
    7,008.82x = 37,385,779.90
  5. Step 5: Solve for x
    x = 37,385,779.90/7,008.82
  6. Step 6: Final answer
    x = 5,334.10

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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.