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Finding the Fourth Proportional to 7,898.48, 11,834.72 and 5,822.72

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Solution

The fourth proportional to 7,898.48, 11,834.72 and 5,822.72 is: 8,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.48 : 11,834.72 = 5,822.72 : x
  2. Step 2: Convert to fraction form
    7,898.48/11,834.72 = 5,822.72/x
  3. Step 3: Cross multiply
    7,898.48x = 11,834.72 × 5,822.72
  4. Step 4: Simplify right side
    7,898.48x = 68,910,260.84
  5. Step 5: Solve for x
    x = 68,910,260.84/7,898.48
  6. Step 6: Final answer
    x = 8,724.50

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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.