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Finding the Fourth Proportional to 11,141.83, 15,375.63 and 6,106.33

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Solution

The fourth proportional to 11,141.83, 15,375.63 and 6,106.33 is: 8,426.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.83 : 15,375.63 = 6,106.33 : x
  2. Step 2: Convert to fraction form
    11,141.83/15,375.63 = 6,106.33/x
  3. Step 3: Cross multiply
    11,141.83x = 15,375.63 × 6,106.33
  4. Step 4: Simplify right side
    11,141.83x = 93,888,670.74
  5. Step 5: Solve for x
    x = 93,888,670.74/11,141.83
  6. Step 6: Final answer
    x = 8,426.68

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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.