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Finding the Fourth Proportional to 6,871.14, 10,307.88 and 2,427.57

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Solution

The fourth proportional to 6,871.14, 10,307.88 and 2,427.57 is: 3,641.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.14 : 10,307.88 = 2,427.57 : x
  2. Step 2: Convert to fraction form
    6,871.14/10,307.88 = 2,427.57/x
  3. Step 3: Cross multiply
    6,871.14x = 10,307.88 × 2,427.57
  4. Step 4: Simplify right side
    6,871.14x = 25,023,100.25
  5. Step 5: Solve for x
    x = 25,023,100.25/6,871.14
  6. Step 6: Final answer
    x = 3,641.77

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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.