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Finding the Fourth Proportional to 7,561.33, 10,428.82 and 6,711.46

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Solution

The fourth proportional to 7,561.33, 10,428.82 and 6,711.46 is: 9,256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.33 : 10,428.82 = 6,711.46 : x
  2. Step 2: Convert to fraction form
    7,561.33/10,428.82 = 6,711.46/x
  3. Step 3: Cross multiply
    7,561.33x = 10,428.82 × 6,711.46
  4. Step 4: Simplify right side
    7,561.33x = 69,992,608.28
  5. Step 5: Solve for x
    x = 69,992,608.28/7,561.33
  6. Step 6: Final answer
    x = 9,256.65

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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.