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Finding the Fourth Proportional to 7,672.82, 10,577.38 and 5,081.42

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Solution

The fourth proportional to 7,672.82, 10,577.38 and 5,081.42 is: 7,005.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.82 : 10,577.38 = 5,081.42 : x
  2. Step 2: Convert to fraction form
    7,672.82/10,577.38 = 5,081.42/x
  3. Step 3: Cross multiply
    7,672.82x = 10,577.38 × 5,081.42
  4. Step 4: Simplify right side
    7,672.82x = 53,748,084.87
  5. Step 5: Solve for x
    x = 53,748,084.87/7,672.82
  6. Step 6: Final answer
    x = 7,005.00

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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.