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Finding the Fourth Proportional to 8,184, 11,293.76 and 4,997.28

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Solution

The fourth proportional to 8,184, 11,293.76 and 4,997.28 is: 6,896.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184 : 11,293.76 = 4,997.28 : x
  2. Step 2: Convert to fraction form
    8,184/11,293.76 = 4,997.28/x
  3. Step 3: Cross multiply
    8,184x = 11,293.76 × 4,997.28
  4. Step 4: Simplify right side
    8,184x = 56,438,080.97
  5. Step 5: Solve for x
    x = 56,438,080.97/8,184
  6. Step 6: Final answer
    x = 6,896.15

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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.