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Finding the Fourth Proportional to 7,997.50, 11,042.22 and 6,503.05

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Solution

The fourth proportional to 7,997.50, 11,042.22 and 6,503.05 is: 8,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.50 : 11,042.22 = 6,503.05 : x
  2. Step 2: Convert to fraction form
    7,997.50/11,042.22 = 6,503.05/x
  3. Step 3: Cross multiply
    7,997.50x = 11,042.22 × 6,503.05
  4. Step 4: Simplify right side
    7,997.50x = 71,808,108.77
  5. Step 5: Solve for x
    x = 71,808,108.77/7,997.50
  6. Step 6: Final answer
    x = 8,978.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.