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Finding the Fourth Proportional to 11,390.96, 15,726.83 and 7,147.85

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Solution

The fourth proportional to 11,390.96, 15,726.83 and 7,147.85 is: 9,868.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,390.96 : 15,726.83 = 7,147.85 : x
  2. Step 2: Convert to fraction form
    11,390.96/15,726.83 = 7,147.85/x
  3. Step 3: Cross multiply
    11,390.96x = 15,726.83 × 7,147.85
  4. Step 4: Simplify right side
    11,390.96x = 112,412,907.44
  5. Step 5: Solve for x
    x = 112,412,907.44/11,390.96
  6. Step 6: Final answer
    x = 9,868.61

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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.