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Finding the Fourth Proportional to 11,214.64, 16,822.02 and 3,423.52

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Solution

The fourth proportional to 11,214.64, 16,822.02 and 3,423.52 is: 5,135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.64 : 16,822.02 = 3,423.52 : x
  2. Step 2: Convert to fraction form
    11,214.64/16,822.02 = 3,423.52/x
  3. Step 3: Cross multiply
    11,214.64x = 16,822.02 × 3,423.52
  4. Step 4: Simplify right side
    11,214.64x = 57,590,521.91
  5. Step 5: Solve for x
    x = 57,590,521.91/11,214.64
  6. Step 6: Final answer
    x = 5,135.30

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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.