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Finding the Fourth Proportional to 8,204.95, 11,333.28 and 6,885.46

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Solution

The fourth proportional to 8,204.95, 11,333.28 and 6,885.46 is: 9,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.95 : 11,333.28 = 6,885.46 : x
  2. Step 2: Convert to fraction form
    8,204.95/11,333.28 = 6,885.46/x
  3. Step 3: Cross multiply
    8,204.95x = 11,333.28 × 6,885.46
  4. Step 4: Simplify right side
    8,204.95x = 78,034,846.11
  5. Step 5: Solve for x
    x = 78,034,846.11/8,204.95
  6. Step 6: Final answer
    x = 9,510.70

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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.