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Finding the Fourth Proportional to 7,860.38, 11,793.78 and 5,052.36

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Solution

The fourth proportional to 7,860.38, 11,793.78 and 5,052.36 is: 7,580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.38 : 11,793.78 = 5,052.36 : x
  2. Step 2: Convert to fraction form
    7,860.38/11,793.78 = 5,052.36/x
  3. Step 3: Cross multiply
    7,860.38x = 11,793.78 × 5,052.36
  4. Step 4: Simplify right side
    7,860.38x = 59,586,422.32
  5. Step 5: Solve for x
    x = 59,586,422.32/7,860.38
  6. Step 6: Final answer
    x = 7,580.60

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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.