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Finding the Fourth Proportional to 7,382.80, 11,079.60 and 4,916.80

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Solution

The fourth proportional to 7,382.80, 11,079.60 and 4,916.80 is: 7,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.80 : 11,079.60 = 4,916.80 : x
  2. Step 2: Convert to fraction form
    7,382.80/11,079.60 = 4,916.80/x
  3. Step 3: Cross multiply
    7,382.80x = 11,079.60 × 4,916.80
  4. Step 4: Simplify right side
    7,382.80x = 54,476,177.28
  5. Step 5: Solve for x
    x = 54,476,177.28/7,382.80
  6. Step 6: Final answer
    x = 7,378.80

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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.