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Finding the Fourth Proportional to 11,867.79, 17,802.70 and 3,102.69

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Solution

The fourth proportional to 11,867.79, 17,802.70 and 3,102.69 is: 4,654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.79 : 17,802.70 = 3,102.69 : x
  2. Step 2: Convert to fraction form
    11,867.79/17,802.70 = 3,102.69/x
  3. Step 3: Cross multiply
    11,867.79x = 17,802.70 × 3,102.69
  4. Step 4: Simplify right side
    11,867.79x = 55,236,243.75
  5. Step 5: Solve for x
    x = 55,236,243.75/11,867.79
  6. Step 6: Final answer
    x = 4,654.30

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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.