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Finding the Fourth Proportional to 7,657.28, 10,566.30 and 4,299.33

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Solution

The fourth proportional to 7,657.28, 10,566.30 and 4,299.33 is: 5,932.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.28 : 10,566.30 = 4,299.33 : x
  2. Step 2: Convert to fraction form
    7,657.28/10,566.30 = 4,299.33/x
  3. Step 3: Cross multiply
    7,657.28x = 10,566.30 × 4,299.33
  4. Step 4: Simplify right side
    7,657.28x = 45,427,982.71
  5. Step 5: Solve for x
    x = 45,427,982.71/7,657.28
  6. Step 6: Final answer
    x = 5,932.65

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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.