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Finding the Fourth Proportional to 11,147.80, 16,723.23 and 6,470.01

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Solution

The fourth proportional to 11,147.80, 16,723.23 and 6,470.01 is: 9,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.80 : 16,723.23 = 6,470.01 : x
  2. Step 2: Convert to fraction form
    11,147.80/16,723.23 = 6,470.01/x
  3. Step 3: Cross multiply
    11,147.80x = 16,723.23 × 6,470.01
  4. Step 4: Simplify right side
    11,147.80x = 108,199,402.62
  5. Step 5: Solve for x
    x = 108,199,402.62/11,147.80
  6. Step 6: Final answer
    x = 9,705.90

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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.