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Finding the Fourth Proportional to 10,024.07, 13,833.72 and 6,046.46

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Solution

The fourth proportional to 10,024.07, 13,833.72 and 6,046.46 is: 8,344.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.07 : 13,833.72 = 6,046.46 : x
  2. Step 2: Convert to fraction form
    10,024.07/13,833.72 = 6,046.46/x
  3. Step 3: Cross multiply
    10,024.07x = 13,833.72 × 6,046.46
  4. Step 4: Simplify right side
    10,024.07x = 83,644,965.46
  5. Step 5: Solve for x
    x = 83,644,965.46/10,024.07
  6. Step 6: Final answer
    x = 8,344.41

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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.