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Finding the Fourth Proportional to 7,916.07, 10,974.14 and 7,494.74

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Solution

The fourth proportional to 7,916.07, 10,974.14 and 7,494.74 is: 10,390.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,916.07 : 10,974.14 = 7,494.74 : x
  2. Step 2: Convert to fraction form
    7,916.07/10,974.14 = 7,494.74/x
  3. Step 3: Cross multiply
    7,916.07x = 10,974.14 × 7,494.74
  4. Step 4: Simplify right side
    7,916.07x = 82,248,233.68
  5. Step 5: Solve for x
    x = 82,248,233.68/7,916.07
  6. Step 6: Final answer
    x = 10,390.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.