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Finding the Fourth Proportional to 8,666.34, 12,991.31 and 5,336.63

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Solution

The fourth proportional to 8,666.34, 12,991.31 and 5,336.63 is: 7,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.34 : 12,991.31 = 5,336.63 : x
  2. Step 2: Convert to fraction form
    8,666.34/12,991.31 = 5,336.63/x
  3. Step 3: Cross multiply
    8,666.34x = 12,991.31 × 5,336.63
  4. Step 4: Simplify right side
    8,666.34x = 69,329,840.49
  5. Step 5: Solve for x
    x = 69,329,840.49/8,666.34
  6. Step 6: Final answer
    x = 7,999.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.