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Finding the Fourth Proportional to 7,511.52, 10,369.50 and 4,997.82

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Solution

The fourth proportional to 7,511.52, 10,369.50 and 4,997.82 is: 6,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511.52 : 10,369.50 = 4,997.82 : x
  2. Step 2: Convert to fraction form
    7,511.52/10,369.50 = 4,997.82/x
  3. Step 3: Cross multiply
    7,511.52x = 10,369.50 × 4,997.82
  4. Step 4: Simplify right side
    7,511.52x = 51,824,894.49
  5. Step 5: Solve for x
    x = 51,824,894.49/7,511.52
  6. Step 6: Final answer
    x = 6,899.39

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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.