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Finding the Fourth Proportional to 10,395, 14,345.10 and 5,679.28

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Solution

The fourth proportional to 10,395, 14,345.10 and 5,679.28 is: 7,837.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395 : 14,345.10 = 5,679.28 : x
  2. Step 2: Convert to fraction form
    10,395/14,345.10 = 5,679.28/x
  3. Step 3: Cross multiply
    10,395x = 14,345.10 × 5,679.28
  4. Step 4: Simplify right side
    10,395x = 81,469,857.46
  5. Step 5: Solve for x
    x = 81,469,857.46/10,395
  6. Step 6: Final answer
    x = 7,837.41

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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.