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Finding the Fourth Proportional to 10,305.30, 15,447.14 and 5,369.70

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Solution

The fourth proportional to 10,305.30, 15,447.14 and 5,369.70 is: 8,048.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.30 : 15,447.14 = 5,369.70 : x
  2. Step 2: Convert to fraction form
    10,305.30/15,447.14 = 5,369.70/x
  3. Step 3: Cross multiply
    10,305.30x = 15,447.14 × 5,369.70
  4. Step 4: Simplify right side
    10,305.30x = 82,946,507.66
  5. Step 5: Solve for x
    x = 82,946,507.66/10,305.30
  6. Step 6: Final answer
    x = 8,048.92

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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.