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Finding the Fourth Proportional to 7,010.53, 9,674.36 and 3,866.65

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Solution

The fourth proportional to 7,010.53, 9,674.36 and 3,866.65 is: 5,335.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.53 : 9,674.36 = 3,866.65 : x
  2. Step 2: Convert to fraction form
    7,010.53/9,674.36 = 3,866.65/x
  3. Step 3: Cross multiply
    7,010.53x = 9,674.36 × 3,866.65
  4. Step 4: Simplify right side
    7,010.53x = 37,407,335.07
  5. Step 5: Solve for x
    x = 37,407,335.07/7,010.53
  6. Step 6: Final answer
    x = 5,335.88

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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.