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Finding the Fourth Proportional to 7,111.56, 10,665.37 and 2,178.46

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Solution

The fourth proportional to 7,111.56, 10,665.37 and 2,178.46 is: 3,267.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.56 : 10,665.37 = 2,178.46 : x
  2. Step 2: Convert to fraction form
    7,111.56/10,665.37 = 2,178.46/x
  3. Step 3: Cross multiply
    7,111.56x = 10,665.37 × 2,178.46
  4. Step 4: Simplify right side
    7,111.56x = 23,234,097.98
  5. Step 5: Solve for x
    x = 23,234,097.98/7,111.56
  6. Step 6: Final answer
    x = 3,267.09

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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.