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Finding the Fourth Proportional to 11,482.32, 17,223.24 and 3,162.30

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Solution

The fourth proportional to 11,482.32, 17,223.24 and 3,162.30 is: 4,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.32 : 17,223.24 = 3,162.30 : x
  2. Step 2: Convert to fraction form
    11,482.32/17,223.24 = 3,162.30/x
  3. Step 3: Cross multiply
    11,482.32x = 17,223.24 × 3,162.30
  4. Step 4: Simplify right side
    11,482.32x = 54,465,051.85
  5. Step 5: Solve for x
    x = 54,465,051.85/11,482.32
  6. Step 6: Final answer
    x = 4,743.38

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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.