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Finding the Fourth Proportional to 10,326.80, 15,463.89 and 6,806.13

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Solution

The fourth proportional to 10,326.80, 15,463.89 and 6,806.13 is: 10,191.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326.80 : 15,463.89 = 6,806.13 : x
  2. Step 2: Convert to fraction form
    10,326.80/15,463.89 = 6,806.13/x
  3. Step 3: Cross multiply
    10,326.80x = 15,463.89 × 6,806.13
  4. Step 4: Simplify right side
    10,326.80x = 105,249,245.65
  5. Step 5: Solve for x
    x = 105,249,245.65/10,326.80
  6. Step 6: Final answer
    x = 10,191.86

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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.