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Finding the Fourth Proportional to 7,564.29, 11,348.06 and 3,179.22

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Solution

The fourth proportional to 7,564.29, 11,348.06 and 3,179.22 is: 4,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.29 : 11,348.06 = 3,179.22 : x
  2. Step 2: Convert to fraction form
    7,564.29/11,348.06 = 3,179.22/x
  3. Step 3: Cross multiply
    7,564.29x = 11,348.06 × 3,179.22
  4. Step 4: Simplify right side
    7,564.29x = 36,077,963.42
  5. Step 5: Solve for x
    x = 36,077,963.42/7,564.29
  6. Step 6: Final answer
    x = 4,769.51

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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.