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Finding the Fourth Proportional to 7,291.86, 10,938.87 and 2,674.50

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Solution

The fourth proportional to 7,291.86, 10,938.87 and 2,674.50 is: 4,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.86 : 10,938.87 = 2,674.50 : x
  2. Step 2: Convert to fraction form
    7,291.86/10,938.87 = 2,674.50/x
  3. Step 3: Cross multiply
    7,291.86x = 10,938.87 × 2,674.50
  4. Step 4: Simplify right side
    7,291.86x = 29,256,007.82
  5. Step 5: Solve for x
    x = 29,256,007.82/7,291.86
  6. Step 6: Final answer
    x = 4,012.15

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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.