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Finding the Fourth Proportional to 7,916.94, 11,874.50 and 2,074.01

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Solution

The fourth proportional to 7,916.94, 11,874.50 and 2,074.01 is: 3,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,916.94 : 11,874.50 = 2,074.01 : x
  2. Step 2: Convert to fraction form
    7,916.94/11,874.50 = 2,074.01/x
  3. Step 3: Cross multiply
    7,916.94x = 11,874.50 × 2,074.01
  4. Step 4: Simplify right side
    7,916.94x = 24,627,769.78
  5. Step 5: Solve for x
    x = 24,627,769.78/7,916.94
  6. Step 6: Final answer
    x = 3,110.77

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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.