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Finding the Fourth Proportional to 11,815.85, 16,306.85 and 6,511.16

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Solution

The fourth proportional to 11,815.85, 16,306.85 and 6,511.16 is: 8,985.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.85 : 16,306.85 = 6,511.16 : x
  2. Step 2: Convert to fraction form
    11,815.85/16,306.85 = 6,511.16/x
  3. Step 3: Cross multiply
    11,815.85x = 16,306.85 × 6,511.16
  4. Step 4: Simplify right side
    11,815.85x = 106,176,509.45
  5. Step 5: Solve for x
    x = 106,176,509.45/11,815.85
  6. Step 6: Final answer
    x = 8,985.94

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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.