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Finding the Fourth Proportional to 11,830.80, 17,730.40 and 5,991.52

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Solution

The fourth proportional to 11,830.80, 17,730.40 and 5,991.52 is: 8,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.80 : 17,730.40 = 5,991.52 : x
  2. Step 2: Convert to fraction form
    11,830.80/17,730.40 = 5,991.52/x
  3. Step 3: Cross multiply
    11,830.80x = 17,730.40 × 5,991.52
  4. Step 4: Simplify right side
    11,830.80x = 106,232,046.21
  5. Step 5: Solve for x
    x = 106,232,046.21/11,830.80
  6. Step 6: Final answer
    x = 8,979.28

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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.