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Finding the Fourth Proportional to 8,239.32, 11,366.33 and 5,405.54

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Solution

The fourth proportional to 8,239.32, 11,366.33 and 5,405.54 is: 7,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.32 : 11,366.33 = 5,405.54 : x
  2. Step 2: Convert to fraction form
    8,239.32/11,366.33 = 5,405.54/x
  3. Step 3: Cross multiply
    8,239.32x = 11,366.33 × 5,405.54
  4. Step 4: Simplify right side
    8,239.32x = 61,441,067.61
  5. Step 5: Solve for x
    x = 61,441,067.61/8,239.32
  6. Step 6: Final answer
    x = 7,457.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.