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Finding the Fourth Proportional to 11,342.58, 15,642.30 and 7,092.29

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Solution

The fourth proportional to 11,342.58, 15,642.30 and 7,092.29 is: 9,780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.58 : 15,642.30 = 7,092.29 : x
  2. Step 2: Convert to fraction form
    11,342.58/15,642.30 = 7,092.29/x
  3. Step 3: Cross multiply
    11,342.58x = 15,642.30 × 7,092.29
  4. Step 4: Simplify right side
    11,342.58x = 110,939,727.87
  5. Step 5: Solve for x
    x = 110,939,727.87/11,342.58
  6. Step 6: Final answer
    x = 9,780.82

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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.