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Finding the Fourth Proportional to 11,884.32, 17,830.80 and 5,646.24

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Solution

The fourth proportional to 11,884.32, 17,830.80 and 5,646.24 is: 8,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.32 : 17,830.80 = 5,646.24 : x
  2. Step 2: Convert to fraction form
    11,884.32/17,830.80 = 5,646.24/x
  3. Step 3: Cross multiply
    11,884.32x = 17,830.80 × 5,646.24
  4. Step 4: Simplify right side
    11,884.32x = 100,676,976.19
  5. Step 5: Solve for x
    x = 100,676,976.19/11,884.32
  6. Step 6: Final answer
    x = 8,471.41

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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.