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Finding the Fourth Proportional to 7,833.26, 11,751.12 and 2,286.50

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Solution

The fourth proportional to 7,833.26, 11,751.12 and 2,286.50 is: 3,430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.26 : 11,751.12 = 2,286.50 : x
  2. Step 2: Convert to fraction form
    7,833.26/11,751.12 = 2,286.50/x
  3. Step 3: Cross multiply
    7,833.26x = 11,751.12 × 2,286.50
  4. Step 4: Simplify right side
    7,833.26x = 26,868,877.12
  5. Step 5: Solve for x
    x = 26,868,877.12/7,833.26
  6. Step 6: Final answer
    x = 3,430.10

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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.