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Finding the Fourth Proportional to 7,851.30, 11,793.15 and 7,575.90

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Solution

The fourth proportional to 7,851.30, 11,793.15 and 7,575.90 is: 11,379.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.30 : 11,793.15 = 7,575.90 : x
  2. Step 2: Convert to fraction form
    7,851.30/11,793.15 = 7,575.90/x
  3. Step 3: Cross multiply
    7,851.30x = 11,793.15 × 7,575.90
  4. Step 4: Simplify right side
    7,851.30x = 89,343,725.09
  5. Step 5: Solve for x
    x = 89,343,725.09/7,851.30
  6. Step 6: Final answer
    x = 11,379.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.