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Finding the Fourth Proportional to 8,153.38, 11,256.33 and 5,366.98

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Solution

The fourth proportional to 8,153.38, 11,256.33 and 5,366.98 is: 7,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.38 : 11,256.33 = 5,366.98 : x
  2. Step 2: Convert to fraction form
    8,153.38/11,256.33 = 5,366.98/x
  3. Step 3: Cross multiply
    8,153.38x = 11,256.33 × 5,366.98
  4. Step 4: Simplify right side
    8,153.38x = 60,412,497.98
  5. Step 5: Solve for x
    x = 60,412,497.98/8,153.38
  6. Step 6: Final answer
    x = 7,409.50

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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.