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Finding the Fourth Proportional to 7,295.86, 10,944.87 and 2,678.50

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Solution

The fourth proportional to 7,295.86, 10,944.87 and 2,678.50 is: 4,018.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.86 : 10,944.87 = 2,678.50 : x
  2. Step 2: Convert to fraction form
    7,295.86/10,944.87 = 2,678.50/x
  3. Step 3: Cross multiply
    7,295.86x = 10,944.87 × 2,678.50
  4. Step 4: Simplify right side
    7,295.86x = 29,315,834.30
  5. Step 5: Solve for x
    x = 29,315,834.30/7,295.86
  6. Step 6: Final answer
    x = 4,018.15

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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.