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Finding the Fourth Proportional to 7,010.33, 9,668.16 and 6,065.82

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Solution

The fourth proportional to 7,010.33, 9,668.16 and 6,065.82 is: 8,365.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.33 : 9,668.16 = 6,065.82 : x
  2. Step 2: Convert to fraction form
    7,010.33/9,668.16 = 6,065.82/x
  3. Step 3: Cross multiply
    7,010.33x = 9,668.16 × 6,065.82
  4. Step 4: Simplify right side
    7,010.33x = 58,645,318.29
  5. Step 5: Solve for x
    x = 58,645,318.29/7,010.33
  6. Step 6: Final answer
    x = 8,365.56

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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.