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Finding the Fourth Proportional to 10,833.52, 14,950.28 and 5,865.52

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Solution

The fourth proportional to 10,833.52, 14,950.28 and 5,865.52 is: 8,094.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.52 : 14,950.28 = 5,865.52 : x
  2. Step 2: Convert to fraction form
    10,833.52/14,950.28 = 5,865.52/x
  3. Step 3: Cross multiply
    10,833.52x = 14,950.28 × 5,865.52
  4. Step 4: Simplify right side
    10,833.52x = 87,691,166.35
  5. Step 5: Solve for x
    x = 87,691,166.35/10,833.52
  6. Step 6: Final answer
    x = 8,094.43

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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.