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Finding the Fourth Proportional to 10,962.72, 15,127.20 and 6,982.20

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Solution

The fourth proportional to 10,962.72, 15,127.20 and 6,982.20 is: 9,634.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,962.72 : 15,127.20 = 6,982.20 : x
  2. Step 2: Convert to fraction form
    10,962.72/15,127.20 = 6,982.20/x
  3. Step 3: Cross multiply
    10,962.72x = 15,127.20 × 6,982.20
  4. Step 4: Simplify right side
    10,962.72x = 105,621,135.84
  5. Step 5: Solve for x
    x = 105,621,135.84/10,962.72
  6. Step 6: Final answer
    x = 9,634.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.