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Finding the Fourth Proportional to 10,986.30, 16,450.65 and 8,048.70

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Solution

The fourth proportional to 10,986.30, 16,450.65 and 8,048.70 is: 12,051.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.30 : 16,450.65 = 8,048.70 : x
  2. Step 2: Convert to fraction form
    10,986.30/16,450.65 = 8,048.70/x
  3. Step 3: Cross multiply
    10,986.30x = 16,450.65 × 8,048.70
  4. Step 4: Simplify right side
    10,986.30x = 132,406,346.66
  5. Step 5: Solve for x
    x = 132,406,346.66/10,986.30
  6. Step 6: Final answer
    x = 12,051.95

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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.