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Finding the Fourth Proportional to 8,181, 11,293.56 and 5,039.01

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Solution

The fourth proportional to 8,181, 11,293.56 and 5,039.01 is: 6,956.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181 : 11,293.56 = 5,039.01 : x
  2. Step 2: Convert to fraction form
    8,181/11,293.56 = 5,039.01/x
  3. Step 3: Cross multiply
    8,181x = 11,293.56 × 5,039.01
  4. Step 4: Simplify right side
    8,181x = 56,908,361.78
  5. Step 5: Solve for x
    x = 56,908,361.78/8,181
  6. Step 6: Final answer
    x = 6,956.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.