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Finding the Fourth Proportional to 8,238.04, 11,359.74 and 6,556.12

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Solution

The fourth proportional to 8,238.04, 11,359.74 and 6,556.12 is: 9,040.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.04 : 11,359.74 = 6,556.12 : x
  2. Step 2: Convert to fraction form
    8,238.04/11,359.74 = 6,556.12/x
  3. Step 3: Cross multiply
    8,238.04x = 11,359.74 × 6,556.12
  4. Step 4: Simplify right side
    8,238.04x = 74,475,818.61
  5. Step 5: Solve for x
    x = 74,475,818.61/8,238.04
  6. Step 6: Final answer
    x = 9,040.48

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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.