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Finding the Fourth Proportional to 11,468.70, 17,191.71 and 5,534.64

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Solution

The fourth proportional to 11,468.70, 17,191.71 and 5,534.64 is: 8,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.70 : 17,191.71 = 5,534.64 : x
  2. Step 2: Convert to fraction form
    11,468.70/17,191.71 = 5,534.64/x
  3. Step 3: Cross multiply
    11,468.70x = 17,191.71 × 5,534.64
  4. Step 4: Simplify right side
    11,468.70x = 95,149,925.83
  5. Step 5: Solve for x
    x = 95,149,925.83/11,468.70
  6. Step 6: Final answer
    x = 8,296.49

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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.