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Finding the Fourth Proportional to 10,394.96, 14,344.95 and 5,679.26

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Solution

The fourth proportional to 10,394.96, 14,344.95 and 5,679.26 is: 7,837.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.96 : 14,344.95 = 5,679.26 : x
  2. Step 2: Convert to fraction form
    10,394.96/14,344.95 = 5,679.26/x
  3. Step 3: Cross multiply
    10,394.96x = 14,344.95 × 5,679.26
  4. Step 4: Simplify right side
    10,394.96x = 81,468,700.74
  5. Step 5: Solve for x
    x = 81,468,700.74/10,394.96
  6. Step 6: Final answer
    x = 7,837.33

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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.