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Finding the Fourth Proportional to 11,230, 16,838.52 and 4,990

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Solution

The fourth proportional to 11,230, 16,838.52 and 4,990 is: 7,482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230 : 16,838.52 = 4,990 : x
  2. Step 2: Convert to fraction form
    11,230/16,838.52 = 4,990/x
  3. Step 3: Cross multiply
    11,230x = 16,838.52 × 4,990
  4. Step 4: Simplify right side
    11,230x = 84,024,214.80
  5. Step 5: Solve for x
    x = 84,024,214.80/11,230
  6. Step 6: Final answer
    x = 7,482.12

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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.