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Finding the Fourth Proportional to 7,916.98, 11,849.71 and 5,836.15

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Solution

The fourth proportional to 7,916.98, 11,849.71 and 5,836.15 is: 8,735.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,916.98 : 11,849.71 = 5,836.15 : x
  2. Step 2: Convert to fraction form
    7,916.98/11,849.71 = 5,836.15/x
  3. Step 3: Cross multiply
    7,916.98x = 11,849.71 × 5,836.15
  4. Step 4: Simplify right side
    7,916.98x = 69,156,685.02
  5. Step 5: Solve for x
    x = 69,156,685.02/7,916.98
  6. Step 6: Final answer
    x = 8,735.24

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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.