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Finding the Fourth Proportional to 10,395.17, 14,345.31 and 5,679.49

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Solution

The fourth proportional to 10,395.17, 14,345.31 and 5,679.49 is: 7,837.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395.17 : 14,345.31 = 5,679.49 : x
  2. Step 2: Convert to fraction form
    10,395.17/14,345.31 = 5,679.49/x
  3. Step 3: Cross multiply
    10,395.17x = 14,345.31 × 5,679.49
  4. Step 4: Simplify right side
    10,395.17x = 81,474,030.13
  5. Step 5: Solve for x
    x = 81,474,030.13/10,395.17
  6. Step 6: Final answer
    x = 7,837.68

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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.