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Finding the Fourth Proportional to 11,212.81, 15,478.80 and 7,984.71

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Solution

The fourth proportional to 11,212.81, 15,478.80 and 7,984.71 is: 11,022.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,212.81 : 15,478.80 = 7,984.71 : x
  2. Step 2: Convert to fraction form
    11,212.81/15,478.80 = 7,984.71/x
  3. Step 3: Cross multiply
    11,212.81x = 15,478.80 × 7,984.71
  4. Step 4: Simplify right side
    11,212.81x = 123,593,699.21
  5. Step 5: Solve for x
    x = 123,593,699.21/11,212.81
  6. Step 6: Final answer
    x = 11,022.55

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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.