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Finding the Fourth Proportional to 6,862.34, 10,291.41 and 2,182.16

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Solution

The fourth proportional to 6,862.34, 10,291.41 and 2,182.16 is: 3,272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.34 : 10,291.41 = 2,182.16 : x
  2. Step 2: Convert to fraction form
    6,862.34/10,291.41 = 2,182.16/x
  3. Step 3: Cross multiply
    6,862.34x = 10,291.41 × 2,182.16
  4. Step 4: Simplify right side
    6,862.34x = 22,457,451.79
  5. Step 5: Solve for x
    x = 22,457,451.79/6,862.34
  6. Step 6: Final answer
    x = 3,272.57

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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.