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Finding the Fourth Proportional to 7,834.79, 11,752.23 and 3,156.95

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Solution

The fourth proportional to 7,834.79, 11,752.23 and 3,156.95 is: 4,735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.79 : 11,752.23 = 3,156.95 : x
  2. Step 2: Convert to fraction form
    7,834.79/11,752.23 = 3,156.95/x
  3. Step 3: Cross multiply
    7,834.79x = 11,752.23 × 3,156.95
  4. Step 4: Simplify right side
    7,834.79x = 37,101,202.50
  5. Step 5: Solve for x
    x = 37,101,202.50/7,834.79
  6. Step 6: Final answer
    x = 4,735.44

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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.