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Finding the Fourth Proportional to 10,822.74, 14,933.91 and 6,042.12

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Solution

The fourth proportional to 10,822.74, 14,933.91 and 6,042.12 is: 8,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.74 : 14,933.91 = 6,042.12 : x
  2. Step 2: Convert to fraction form
    10,822.74/14,933.91 = 6,042.12/x
  3. Step 3: Cross multiply
    10,822.74x = 14,933.91 × 6,042.12
  4. Step 4: Simplify right side
    10,822.74x = 90,232,476.29
  5. Step 5: Solve for x
    x = 90,232,476.29/10,822.74
  6. Step 6: Final answer
    x = 8,337.30

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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.