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Finding the Fourth Proportional to 11,253.20, 15,529.20 and 6,217.40

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Solution

The fourth proportional to 11,253.20, 15,529.20 and 6,217.40 is: 8,579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,253.20 : 15,529.20 = 6,217.40 : x
  2. Step 2: Convert to fraction form
    11,253.20/15,529.20 = 6,217.40/x
  3. Step 3: Cross multiply
    11,253.20x = 15,529.20 × 6,217.40
  4. Step 4: Simplify right side
    11,253.20x = 96,551,248.08
  5. Step 5: Solve for x
    x = 96,551,248.08/11,253.20
  6. Step 6: Final answer
    x = 8,579.89

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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.