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Finding the Fourth Proportional to 8,126.04, 11,214.73 and 4,939.06

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Solution

The fourth proportional to 8,126.04, 11,214.73 and 4,939.06 is: 6,816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.04 : 11,214.73 = 4,939.06 : x
  2. Step 2: Convert to fraction form
    8,126.04/11,214.73 = 4,939.06/x
  3. Step 3: Cross multiply
    8,126.04x = 11,214.73 × 4,939.06
  4. Step 4: Simplify right side
    8,126.04x = 55,390,162.32
  5. Step 5: Solve for x
    x = 55,390,162.32/8,126.04
  6. Step 6: Final answer
    x = 6,816.38

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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.