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Finding the Fourth Proportional to 10,042.62, 13,848.67 and 7,354.27

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Solution

The fourth proportional to 10,042.62, 13,848.67 and 7,354.27 is: 10,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.62 : 13,848.67 = 7,354.27 : x
  2. Step 2: Convert to fraction form
    10,042.62/13,848.67 = 7,354.27/x
  3. Step 3: Cross multiply
    10,042.62x = 13,848.67 × 7,354.27
  4. Step 4: Simplify right side
    10,042.62x = 101,846,858.32
  5. Step 5: Solve for x
    x = 101,846,858.32/10,042.62
  6. Step 6: Final answer
    x = 10,141.46

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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.