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Finding the Fourth Proportional to 11,233, 16,847.54 and 3,335.32

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Solution

The fourth proportional to 11,233, 16,847.54 and 3,335.32 is: 5,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,233 : 16,847.54 = 3,335.32 : x
  2. Step 2: Convert to fraction form
    11,233/16,847.54 = 3,335.32/x
  3. Step 3: Cross multiply
    11,233x = 16,847.54 × 3,335.32
  4. Step 4: Simplify right side
    11,233x = 56,191,937.11
  5. Step 5: Solve for x
    x = 56,191,937.11/11,233
  6. Step 6: Final answer
    x = 5,002.40

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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.