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Finding the Fourth Proportional to 8,235.06, 11,341.56 and 7,115.64

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Solution

The fourth proportional to 8,235.06, 11,341.56 and 7,115.64 is: 9,799.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.06 : 11,341.56 = 7,115.64 : x
  2. Step 2: Convert to fraction form
    8,235.06/11,341.56 = 7,115.64/x
  3. Step 3: Cross multiply
    8,235.06x = 11,341.56 × 7,115.64
  4. Step 4: Simplify right side
    8,235.06x = 80,702,458.00
  5. Step 5: Solve for x
    x = 80,702,458.00/8,235.06
  6. Step 6: Final answer
    x = 9,799.86

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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.