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Finding the Fourth Proportional to 6,877.68, 10,316.52 and 2,982

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Solution

The fourth proportional to 6,877.68, 10,316.52 and 2,982 is: 4,473

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.68 : 10,316.52 = 2,982 : x
  2. Step 2: Convert to fraction form
    6,877.68/10,316.52 = 2,982/x
  3. Step 3: Cross multiply
    6,877.68x = 10,316.52 × 2,982
  4. Step 4: Simplify right side
    6,877.68x = 30,763,862.64
  5. Step 5: Solve for x
    x = 30,763,862.64/6,877.68
  6. Step 6: Final answer
    x = 4,473

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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.