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Finding the Fourth Proportional to 7,624.78, 11,435.57 and 2,151.50

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Solution

The fourth proportional to 7,624.78, 11,435.57 and 2,151.50 is: 3,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.78 : 11,435.57 = 2,151.50 : x
  2. Step 2: Convert to fraction form
    7,624.78/11,435.57 = 2,151.50/x
  3. Step 3: Cross multiply
    7,624.78x = 11,435.57 × 2,151.50
  4. Step 4: Simplify right side
    7,624.78x = 24,603,628.86
  5. Step 5: Solve for x
    x = 24,603,628.86/7,624.78
  6. Step 6: Final answer
    x = 3,226.80

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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.