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Finding the Fourth Proportional to 7,577.70, 10,459.17 and 6,790.38

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Solution

The fourth proportional to 7,577.70, 10,459.17 and 6,790.38 is: 9,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.70 : 10,459.17 = 6,790.38 : x
  2. Step 2: Convert to fraction form
    7,577.70/10,459.17 = 6,790.38/x
  3. Step 3: Cross multiply
    7,577.70x = 10,459.17 × 6,790.38
  4. Step 4: Simplify right side
    7,577.70x = 71,021,738.78
  5. Step 5: Solve for x
    x = 71,021,738.78/7,577.70
  6. Step 6: Final answer
    x = 9,372.47

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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.