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Finding the Fourth Proportional to 10,681.65, 14,743.79 and 6,207.41

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Solution

The fourth proportional to 10,681.65, 14,743.79 and 6,207.41 is: 8,568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.65 : 14,743.79 = 6,207.41 : x
  2. Step 2: Convert to fraction form
    10,681.65/14,743.79 = 6,207.41/x
  3. Step 3: Cross multiply
    10,681.65x = 14,743.79 × 6,207.41
  4. Step 4: Simplify right side
    10,681.65x = 91,520,801.86
  5. Step 5: Solve for x
    x = 91,520,801.86/10,681.65
  6. Step 6: Final answer
    x = 8,568.04

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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.