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Finding the Fourth Proportional to 7,214.62, 10,823.84 and 2,284.34

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Solution

The fourth proportional to 7,214.62, 10,823.84 and 2,284.34 is: 3,427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.62 : 10,823.84 = 2,284.34 : x
  2. Step 2: Convert to fraction form
    7,214.62/10,823.84 = 2,284.34/x
  3. Step 3: Cross multiply
    7,214.62x = 10,823.84 × 2,284.34
  4. Step 4: Simplify right side
    7,214.62x = 24,725,330.67
  5. Step 5: Solve for x
    x = 24,725,330.67/7,214.62
  6. Step 6: Final answer
    x = 3,427.11

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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.