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Finding the Fourth Proportional to 11,199.87, 15,454.80 and 6,722.46

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Solution

The fourth proportional to 11,199.87, 15,454.80 and 6,722.46 is: 9,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199.87 : 15,454.80 = 6,722.46 : x
  2. Step 2: Convert to fraction form
    11,199.87/15,454.80 = 6,722.46/x
  3. Step 3: Cross multiply
    11,199.87x = 15,454.80 × 6,722.46
  4. Step 4: Simplify right side
    11,199.87x = 103,894,274.81
  5. Step 5: Solve for x
    x = 103,894,274.81/11,199.87
  6. Step 6: Final answer
    x = 9,276.38

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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.