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Finding the Fourth Proportional to 10,032.93, 15,049.33 and 7,843.50

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Solution

The fourth proportional to 10,032.93, 15,049.33 and 7,843.50 is: 11,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.93 : 15,049.33 = 7,843.50 : x
  2. Step 2: Convert to fraction form
    10,032.93/15,049.33 = 7,843.50/x
  3. Step 3: Cross multiply
    10,032.93x = 15,049.33 × 7,843.50
  4. Step 4: Simplify right side
    10,032.93x = 118,039,400.25
  5. Step 5: Solve for x
    x = 118,039,400.25/10,032.93
  6. Step 6: Final answer
    x = 11,765.20

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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.