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Finding the Fourth Proportional to 7,478.58, 11,215.22 and 2,212.19

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Solution

The fourth proportional to 7,478.58, 11,215.22 and 2,212.19 is: 3,317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.58 : 11,215.22 = 2,212.19 : x
  2. Step 2: Convert to fraction form
    7,478.58/11,215.22 = 2,212.19/x
  3. Step 3: Cross multiply
    7,478.58x = 11,215.22 × 2,212.19
  4. Step 4: Simplify right side
    7,478.58x = 24,810,141.46
  5. Step 5: Solve for x
    x = 24,810,141.46/7,478.58
  6. Step 6: Final answer
    x = 3,317.49

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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.