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Finding the Fourth Proportional to 11,700.32, 17,550.41 and 3,909.06

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Solution

The fourth proportional to 11,700.32, 17,550.41 and 3,909.06 is: 5,863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.32 : 17,550.41 = 3,909.06 : x
  2. Step 2: Convert to fraction form
    11,700.32/17,550.41 = 3,909.06/x
  3. Step 3: Cross multiply
    11,700.32x = 17,550.41 × 3,909.06
  4. Step 4: Simplify right side
    11,700.32x = 68,605,586.17
  5. Step 5: Solve for x
    x = 68,605,586.17/11,700.32
  6. Step 6: Final answer
    x = 5,863.57

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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.