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Finding the Fourth Proportional to 8,184.61, 11,294.46 and 5,003.23

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Solution

The fourth proportional to 8,184.61, 11,294.46 and 5,003.23 is: 6,904.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.61 : 11,294.46 = 5,003.23 : x
  2. Step 2: Convert to fraction form
    8,184.61/11,294.46 = 5,003.23/x
  3. Step 3: Cross multiply
    8,184.61x = 11,294.46 × 5,003.23
  4. Step 4: Simplify right side
    8,184.61x = 56,508,755.28
  5. Step 5: Solve for x
    x = 56,508,755.28/8,184.61
  6. Step 6: Final answer
    x = 6,904.27

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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.