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Finding the Fourth Proportional to 11,342.34, 15,641.94 and 7,092.03

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Solution

The fourth proportional to 11,342.34, 15,641.94 and 7,092.03 is: 9,780.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.34 : 15,641.94 = 7,092.03 : x
  2. Step 2: Convert to fraction form
    11,342.34/15,641.94 = 7,092.03/x
  3. Step 3: Cross multiply
    11,342.34x = 15,641.94 × 7,092.03
  4. Step 4: Simplify right side
    11,342.34x = 110,933,107.74
  5. Step 5: Solve for x
    x = 110,933,107.74/11,342.34
  6. Step 6: Final answer
    x = 9,780.44

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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.