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Finding the Fourth Proportional to 8,444.39, 11,650.41 and 5,463.99

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Solution

The fourth proportional to 8,444.39, 11,650.41 and 5,463.99 is: 7,538.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.39 : 11,650.41 = 5,463.99 : x
  2. Step 2: Convert to fraction form
    8,444.39/11,650.41 = 5,463.99/x
  3. Step 3: Cross multiply
    8,444.39x = 11,650.41 × 5,463.99
  4. Step 4: Simplify right side
    8,444.39x = 63,657,723.74
  5. Step 5: Solve for x
    x = 63,657,723.74/8,444.39
  6. Step 6: Final answer
    x = 7,538.47

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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.