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Finding the Fourth Proportional to 10,024.46, 13,843.10 and 7,047.41

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Solution

The fourth proportional to 10,024.46, 13,843.10 and 7,047.41 is: 9,731.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.46 : 13,843.10 = 7,047.41 : x
  2. Step 2: Convert to fraction form
    10,024.46/13,843.10 = 7,047.41/x
  3. Step 3: Cross multiply
    10,024.46x = 13,843.10 × 7,047.41
  4. Step 4: Simplify right side
    10,024.46x = 97,557,949.77
  5. Step 5: Solve for x
    x = 97,557,949.77/10,024.46
  6. Step 6: Final answer
    x = 9,731.99

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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.