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Finding the Fourth Proportional to 7,793.11, 11,630 and 6,962.05

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Solution

The fourth proportional to 7,793.11, 11,630 and 6,962.05 is: 10,389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.11 : 11,630 = 6,962.05 : x
  2. Step 2: Convert to fraction form
    7,793.11/11,630 = 6,962.05/x
  3. Step 3: Cross multiply
    7,793.11x = 11,630 × 6,962.05
  4. Step 4: Simplify right side
    7,793.11x = 80,968,641.50
  5. Step 5: Solve for x
    x = 80,968,641.50/7,793.11
  6. Step 6: Final answer
    x = 10,389.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.