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Finding the Fourth Proportional to 7,916.16, 11,871.90 and 2,982.12

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Solution

The fourth proportional to 7,916.16, 11,871.90 and 2,982.12 is: 4,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,916.16 : 11,871.90 = 2,982.12 : x
  2. Step 2: Convert to fraction form
    7,916.16/11,871.90 = 2,982.12/x
  3. Step 3: Cross multiply
    7,916.16x = 11,871.90 × 2,982.12
  4. Step 4: Simplify right side
    7,916.16x = 35,403,430.43
  5. Step 5: Solve for x
    x = 35,403,430.43/7,916.16
  6. Step 6: Final answer
    x = 4,472.30

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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.