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Finding the Fourth Proportional to 8,192.32, 12,305.28 and 7,794.06

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Solution

The fourth proportional to 8,192.32, 12,305.28 and 7,794.06 is: 11,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.32 : 12,305.28 = 7,794.06 : x
  2. Step 2: Convert to fraction form
    8,192.32/12,305.28 = 7,794.06/x
  3. Step 3: Cross multiply
    8,192.32x = 12,305.28 × 7,794.06
  4. Step 4: Simplify right side
    8,192.32x = 95,908,090.64
  5. Step 5: Solve for x
    x = 95,908,090.64/8,192.32
  6. Step 6: Final answer
    x = 11,707.07

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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.