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Finding the Fourth Proportional to 8,039.04, 11,096.10 and 5,244

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Solution

The fourth proportional to 8,039.04, 11,096.10 and 5,244 is: 7,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039.04 : 11,096.10 = 5,244 : x
  2. Step 2: Convert to fraction form
    8,039.04/11,096.10 = 5,244/x
  3. Step 3: Cross multiply
    8,039.04x = 11,096.10 × 5,244
  4. Step 4: Simplify right side
    8,039.04x = 58,187,948.40
  5. Step 5: Solve for x
    x = 58,187,948.40/8,039.04
  6. Step 6: Final answer
    x = 7,238.17

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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.