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Finding the Fourth Proportional to 7,409.34, 11,113.20 and 2,214

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Solution

The fourth proportional to 7,409.34, 11,113.20 and 2,214 is: 3,320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.34 : 11,113.20 = 2,214 : x
  2. Step 2: Convert to fraction form
    7,409.34/11,113.20 = 2,214/x
  3. Step 3: Cross multiply
    7,409.34x = 11,113.20 × 2,214
  4. Step 4: Simplify right side
    7,409.34x = 24,604,624.80
  5. Step 5: Solve for x
    x = 24,604,624.80/7,409.34
  6. Step 6: Final answer
    x = 3,320.76

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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.