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Finding the Fourth Proportional to 6,871.68, 10,307.52 and 2,976

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Solution

The fourth proportional to 6,871.68, 10,307.52 and 2,976 is: 4,464

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.68 : 10,307.52 = 2,976 : x
  2. Step 2: Convert to fraction form
    6,871.68/10,307.52 = 2,976/x
  3. Step 3: Cross multiply
    6,871.68x = 10,307.52 × 2,976
  4. Step 4: Simplify right side
    6,871.68x = 30,675,179.52
  5. Step 5: Solve for x
    x = 30,675,179.52/6,871.68
  6. Step 6: Final answer
    x = 4,464

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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.