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Finding the Fourth Proportional to 6,920.66, 10,382.36 and 2,538.16

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Solution

The fourth proportional to 6,920.66, 10,382.36 and 2,538.16 is: 3,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.66 : 10,382.36 = 2,538.16 : x
  2. Step 2: Convert to fraction form
    6,920.66/10,382.36 = 2,538.16/x
  3. Step 3: Cross multiply
    6,920.66x = 10,382.36 × 2,538.16
  4. Step 4: Simplify right side
    6,920.66x = 26,352,044.75
  5. Step 5: Solve for x
    x = 26,352,044.75/6,920.66
  6. Step 6: Final answer
    x = 3,807.74

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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.