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Finding the Fourth Proportional to 12,109.15, 16,711.05 and 6,803.86

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Solution

The fourth proportional to 12,109.15, 16,711.05 and 6,803.86 is: 9,389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.15 : 16,711.05 = 6,803.86 : x
  2. Step 2: Convert to fraction form
    12,109.15/16,711.05 = 6,803.86/x
  3. Step 3: Cross multiply
    12,109.15x = 16,711.05 × 6,803.86
  4. Step 4: Simplify right side
    12,109.15x = 113,699,644.65
  5. Step 5: Solve for x
    x = 113,699,644.65/12,109.15
  6. Step 6: Final answer
    x = 9,389.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.