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Finding the Fourth Proportional to 8,331.34, 11,500.95 and 6,341.98

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Solution

The fourth proportional to 8,331.34, 11,500.95 and 6,341.98 is: 8,754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,331.34 : 11,500.95 = 6,341.98 : x
  2. Step 2: Convert to fraction form
    8,331.34/11,500.95 = 6,341.98/x
  3. Step 3: Cross multiply
    8,331.34x = 11,500.95 × 6,341.98
  4. Step 4: Simplify right side
    8,331.34x = 72,938,794.88
  5. Step 5: Solve for x
    x = 72,938,794.88/8,331.34
  6. Step 6: Final answer
    x = 8,754.75

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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.