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Finding the Fourth Proportional to 8,412.15, 11,595.11 and 6,728.16

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Solution

The fourth proportional to 8,412.15, 11,595.11 and 6,728.16 is: 9,273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.15 : 11,595.11 = 6,728.16 : x
  2. Step 2: Convert to fraction form
    8,412.15/11,595.11 = 6,728.16/x
  3. Step 3: Cross multiply
    8,412.15x = 11,595.11 × 6,728.16
  4. Step 4: Simplify right side
    8,412.15x = 78,013,721.66
  5. Step 5: Solve for x
    x = 78,013,721.66/8,412.15
  6. Step 6: Final answer
    x = 9,273.93

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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.