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Finding the Fourth Proportional to 7,666.78, 10,580.14 and 4,309.73

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Solution

The fourth proportional to 7,666.78, 10,580.14 and 4,309.73 is: 5,947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.78 : 10,580.14 = 4,309.73 : x
  2. Step 2: Convert to fraction form
    7,666.78/10,580.14 = 4,309.73/x
  3. Step 3: Cross multiply
    7,666.78x = 10,580.14 × 4,309.73
  4. Step 4: Simplify right side
    7,666.78x = 45,597,546.76
  5. Step 5: Solve for x
    x = 45,597,546.76/7,666.78
  6. Step 6: Final answer
    x = 5,947.42

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