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Finding the Fourth Proportional to 10,654.19, 14,704.20 and 6,118.65

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Solution

The fourth proportional to 10,654.19, 14,704.20 and 6,118.65 is: 8,444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.19 : 14,704.20 = 6,118.65 : x
  2. Step 2: Convert to fraction form
    10,654.19/14,704.20 = 6,118.65/x
  3. Step 3: Cross multiply
    10,654.19x = 14,704.20 × 6,118.65
  4. Step 4: Simplify right side
    10,654.19x = 89,969,853.33
  5. Step 5: Solve for x
    x = 89,969,853.33/10,654.19
  6. Step 6: Final answer
    x = 8,444.56

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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.