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Finding the Fourth Proportional to 11,009.93, 16,515.80 and 3,112.46

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Solution

The fourth proportional to 11,009.93, 16,515.80 and 3,112.46 is: 4,668.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.93 : 16,515.80 = 3,112.46 : x
  2. Step 2: Convert to fraction form
    11,009.93/16,515.80 = 3,112.46/x
  3. Step 3: Cross multiply
    11,009.93x = 16,515.80 × 3,112.46
  4. Step 4: Simplify right side
    11,009.93x = 51,404,742.33
  5. Step 5: Solve for x
    x = 51,404,742.33/11,009.93
  6. Step 6: Final answer
    x = 4,668.95

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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.