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Finding the Fourth Proportional to 7,145.69, 10,721.61 and 2,986.65

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Solution

The fourth proportional to 7,145.69, 10,721.61 and 2,986.65 is: 4,481.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.69 : 10,721.61 = 2,986.65 : x
  2. Step 2: Convert to fraction form
    7,145.69/10,721.61 = 2,986.65/x
  3. Step 3: Cross multiply
    7,145.69x = 10,721.61 × 2,986.65
  4. Step 4: Simplify right side
    7,145.69x = 32,021,696.51
  5. Step 5: Solve for x
    x = 32,021,696.51/7,145.69
  6. Step 6: Final answer
    x = 4,481.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.