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Finding the Fourth Proportional to 7,151.33, 9,868.43 and 4,167.65

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Solution

The fourth proportional to 7,151.33, 9,868.43 and 4,167.65 is: 5,751.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.33 : 9,868.43 = 4,167.65 : x
  2. Step 2: Convert to fraction form
    7,151.33/9,868.43 = 4,167.65/x
  3. Step 3: Cross multiply
    7,151.33x = 9,868.43 × 4,167.65
  4. Step 4: Simplify right side
    7,151.33x = 41,128,162.29
  5. Step 5: Solve for x
    x = 41,128,162.29/7,151.33
  6. Step 6: Final answer
    x = 5,751.12

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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.