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Finding the Fourth Proportional to 7,833.52, 11,752.14 and 3,152.80

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Solution

The fourth proportional to 7,833.52, 11,752.14 and 3,152.80 is: 4,729.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.52 : 11,752.14 = 3,152.80 : x
  2. Step 2: Convert to fraction form
    7,833.52/11,752.14 = 3,152.80/x
  3. Step 3: Cross multiply
    7,833.52x = 11,752.14 × 3,152.80
  4. Step 4: Simplify right side
    7,833.52x = 37,052,146.99
  5. Step 5: Solve for x
    x = 37,052,146.99/7,833.52
  6. Step 6: Final answer
    x = 4,729.95

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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.