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Finding the Fourth Proportional to 11,758.93, 17,610.95 and 10,211.63

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Solution

The fourth proportional to 11,758.93, 17,610.95 and 10,211.63 is: 15,293.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.93 : 17,610.95 = 10,211.63 : x
  2. Step 2: Convert to fraction form
    11,758.93/17,610.95 = 10,211.63/x
  3. Step 3: Cross multiply
    11,758.93x = 17,610.95 × 10,211.63
  4. Step 4: Simplify right side
    11,758.93x = 179,836,442.82
  5. Step 5: Solve for x
    x = 179,836,442.82/11,758.93
  6. Step 6: Final answer
    x = 15,293.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.