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Finding the Fourth Proportional to 7,833.79, 11,750.73 and 3,155.95

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Solution

The fourth proportional to 7,833.79, 11,750.73 and 3,155.95 is: 4,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.79 : 11,750.73 = 3,155.95 : x
  2. Step 2: Convert to fraction form
    7,833.79/11,750.73 = 3,155.95/x
  3. Step 3: Cross multiply
    7,833.79x = 11,750.73 × 3,155.95
  4. Step 4: Simplify right side
    7,833.79x = 37,084,716.34
  5. Step 5: Solve for x
    x = 37,084,716.34/7,833.79
  6. Step 6: Final answer
    x = 4,733.94

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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.