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Finding the Fourth Proportional to 11,816.84, 16,306.84 and 6,511.74

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Solution

The fourth proportional to 11,816.84, 16,306.84 and 6,511.74 is: 8,985.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.84 : 16,306.84 = 6,511.74 : x
  2. Step 2: Convert to fraction form
    11,816.84/16,306.84 = 6,511.74/x
  3. Step 3: Cross multiply
    11,816.84x = 16,306.84 × 6,511.74
  4. Step 4: Simplify right side
    11,816.84x = 106,185,902.30
  5. Step 5: Solve for x
    x = 106,185,902.30/11,816.84
  6. Step 6: Final answer
    x = 8,985.98

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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.