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Finding the Fourth Proportional to 10,199.27, 15,302.80 and 6,641.47

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Solution

The fourth proportional to 10,199.27, 15,302.80 and 6,641.47 is: 9,964.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.27 : 15,302.80 = 6,641.47 : x
  2. Step 2: Convert to fraction form
    10,199.27/15,302.80 = 6,641.47/x
  3. Step 3: Cross multiply
    10,199.27x = 15,302.80 × 6,641.47
  4. Step 4: Simplify right side
    10,199.27x = 101,633,028.47
  5. Step 5: Solve for x
    x = 101,633,028.47/10,199.27
  6. Step 6: Final answer
    x = 9,964.73

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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.