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Finding the Fourth Proportional to 12,112.64, 18,156 and 6,263.36

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Solution

The fourth proportional to 12,112.64, 18,156 and 6,263.36 is: 9,388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112.64 : 18,156 = 6,263.36 : x
  2. Step 2: Convert to fraction form
    12,112.64/18,156 = 6,263.36/x
  3. Step 3: Cross multiply
    12,112.64x = 18,156 × 6,263.36
  4. Step 4: Simplify right side
    12,112.64x = 113,717,564.16
  5. Step 5: Solve for x
    x = 113,717,564.16/12,112.64
  6. Step 6: Final answer
    x = 9,388.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.