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Finding the Fourth Proportional to 7,074.59, 10,614.74 and 2,916.68

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Solution

The fourth proportional to 7,074.59, 10,614.74 and 2,916.68 is: 4,376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.59 : 10,614.74 = 2,916.68 : x
  2. Step 2: Convert to fraction form
    7,074.59/10,614.74 = 2,916.68/x
  3. Step 3: Cross multiply
    7,074.59x = 10,614.74 × 2,916.68
  4. Step 4: Simplify right side
    7,074.59x = 30,959,732.21
  5. Step 5: Solve for x
    x = 30,959,732.21/7,074.59
  6. Step 6: Final answer
    x = 4,376.19

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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.