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Finding the Fourth Proportional to 7,833.52, 10,807.05 and 5,734

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Solution

The fourth proportional to 7,833.52, 10,807.05 and 5,734 is: 7,910.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.52 : 10,807.05 = 5,734 : x
  2. Step 2: Convert to fraction form
    7,833.52/10,807.05 = 5,734/x
  3. Step 3: Cross multiply
    7,833.52x = 10,807.05 × 5,734
  4. Step 4: Simplify right side
    7,833.52x = 61,967,624.70
  5. Step 5: Solve for x
    x = 61,967,624.70/7,833.52
  6. Step 6: Final answer
    x = 7,910.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.