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Finding the Fourth Proportional to 8,039.28, 11,094.24 and 5,056.58

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Solution

The fourth proportional to 8,039.28, 11,094.24 and 5,056.58 is: 6,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039.28 : 11,094.24 = 5,056.58 : x
  2. Step 2: Convert to fraction form
    8,039.28/11,094.24 = 5,056.58/x
  3. Step 3: Cross multiply
    8,039.28x = 11,094.24 × 5,056.58
  4. Step 4: Simplify right side
    8,039.28x = 56,098,952.38
  5. Step 5: Solve for x
    x = 56,098,952.38/8,039.28
  6. Step 6: Final answer
    x = 6,978.11

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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.