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Finding the Fourth Proportional to 10,392.84, 14,342.11 and 5,677.13

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Solution

The fourth proportional to 10,392.84, 14,342.11 and 5,677.13 is: 7,834.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.84 : 14,342.11 = 5,677.13 : x
  2. Step 2: Convert to fraction form
    10,392.84/14,342.11 = 5,677.13/x
  3. Step 3: Cross multiply
    10,392.84x = 14,342.11 × 5,677.13
  4. Step 4: Simplify right side
    10,392.84x = 81,422,022.94
  5. Step 5: Solve for x
    x = 81,422,022.94/10,392.84
  6. Step 6: Final answer
    x = 7,834.43

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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.