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Finding the Fourth Proportional to 11,702.84, 17,552.36 and 5,463.50

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Solution

The fourth proportional to 11,702.84, 17,552.36 and 5,463.50 is: 8,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.84 : 17,552.36 = 5,463.50 : x
  2. Step 2: Convert to fraction form
    11,702.84/17,552.36 = 5,463.50/x
  3. Step 3: Cross multiply
    11,702.84x = 17,552.36 × 5,463.50
  4. Step 4: Simplify right side
    11,702.84x = 95,897,376.40
  5. Step 5: Solve for x
    x = 95,897,376.40/11,702.84
  6. Step 6: Final answer
    x = 8,194.37

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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.