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Finding the Fourth Proportional to 8,192.16, 11,320.52 and 6,699.51

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Solution

The fourth proportional to 8,192.16, 11,320.52 and 6,699.51 is: 9,257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.16 : 11,320.52 = 6,699.51 : x
  2. Step 2: Convert to fraction form
    8,192.16/11,320.52 = 6,699.51/x
  3. Step 3: Cross multiply
    8,192.16x = 11,320.52 × 6,699.51
  4. Step 4: Simplify right side
    8,192.16x = 75,841,903.45
  5. Step 5: Solve for x
    x = 75,841,903.45/8,192.16
  6. Step 6: Final answer
    x = 9,257.86

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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.