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Finding the Fourth Proportional to 11,219.85, 15,482.34 and 6,503.63

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Solution

The fourth proportional to 11,219.85, 15,482.34 and 6,503.63 is: 8,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219.85 : 15,482.34 = 6,503.63 : x
  2. Step 2: Convert to fraction form
    11,219.85/15,482.34 = 6,503.63/x
  3. Step 3: Cross multiply
    11,219.85x = 15,482.34 × 6,503.63
  4. Step 4: Simplify right side
    11,219.85x = 100,691,333.48
  5. Step 5: Solve for x
    x = 100,691,333.48/11,219.85
  6. Step 6: Final answer
    x = 8,974.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.