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Finding the Fourth Proportional to 10,393.28, 14,343.28 and 5,917.28

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Solution

The fourth proportional to 10,393.28, 14,343.28 and 5,917.28 is: 8,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.28 : 14,343.28 = 5,917.28 : x
  2. Step 2: Convert to fraction form
    10,393.28/14,343.28 = 5,917.28/x
  3. Step 3: Cross multiply
    10,393.28x = 14,343.28 × 5,917.28
  4. Step 4: Simplify right side
    10,393.28x = 84,873,203.88
  5. Step 5: Solve for x
    x = 84,873,203.88/10,393.28
  6. Step 6: Final answer
    x = 8,166.16

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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.