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Finding the Fourth Proportional to 6,916.61, 10,376.13 and 2,237.65

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Solution

The fourth proportional to 6,916.61, 10,376.13 and 2,237.65 is: 3,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,916.61 : 10,376.13 = 2,237.65 : x
  2. Step 2: Convert to fraction form
    6,916.61/10,376.13 = 2,237.65/x
  3. Step 3: Cross multiply
    6,916.61x = 10,376.13 × 2,237.65
  4. Step 4: Simplify right side
    6,916.61x = 23,218,147.29
  5. Step 5: Solve for x
    x = 23,218,147.29/6,916.61
  6. Step 6: Final answer
    x = 3,356.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.