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Finding the Fourth Proportional to 7,110.56, 10,665.94 and 3,412.10

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Solution

The fourth proportional to 7,110.56, 10,665.94 and 3,412.10 is: 5,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.56 : 10,665.94 = 3,412.10 : x
  2. Step 2: Convert to fraction form
    7,110.56/10,665.94 = 3,412.10/x
  3. Step 3: Cross multiply
    7,110.56x = 10,665.94 × 3,412.10
  4. Step 4: Simplify right side
    7,110.56x = 36,393,253.87
  5. Step 5: Solve for x
    x = 36,393,253.87/7,110.56
  6. Step 6: Final answer
    x = 5,118.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.