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Finding the Fourth Proportional to 6,763.72, 10,148.78 and 2,382.16

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Solution

The fourth proportional to 6,763.72, 10,148.78 and 2,382.16 is: 3,574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.72 : 10,148.78 = 2,382.16 : x
  2. Step 2: Convert to fraction form
    6,763.72/10,148.78 = 2,382.16/x
  3. Step 3: Cross multiply
    6,763.72x = 10,148.78 × 2,382.16
  4. Step 4: Simplify right side
    6,763.72x = 24,176,017.76
  5. Step 5: Solve for x
    x = 24,176,017.76/6,763.72
  6. Step 6: Final answer
    x = 3,574.37

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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.