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Finding the Fourth Proportional to 8,324, 11,496.88 and 5,524.64

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Solution

The fourth proportional to 8,324, 11,496.88 and 5,524.64 is: 7,630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324 : 11,496.88 = 5,524.64 : x
  2. Step 2: Convert to fraction form
    8,324/11,496.88 = 5,524.64/x
  3. Step 3: Cross multiply
    8,324x = 11,496.88 × 5,524.64
  4. Step 4: Simplify right side
    8,324x = 63,516,123.12
  5. Step 5: Solve for x
    x = 63,516,123.12/8,324
  6. Step 6: Final answer
    x = 7,630.48

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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.