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Finding the Fourth Proportional to 8,866.35, 13,234.59 and 7,815.42

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Solution

The fourth proportional to 8,866.35, 13,234.59 and 7,815.42 is: 11,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,866.35 : 13,234.59 = 7,815.42 : x
  2. Step 2: Convert to fraction form
    8,866.35/13,234.59 = 7,815.42/x
  3. Step 3: Cross multiply
    8,866.35x = 13,234.59 × 7,815.42
  4. Step 4: Simplify right side
    8,866.35x = 103,433,879.38
  5. Step 5: Solve for x
    x = 103,433,879.38/8,866.35
  6. Step 6: Final answer
    x = 11,665.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.