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Finding the Fourth Proportional to 10,232.88, 14,060.18 and 8,133.36

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Solution

The fourth proportional to 10,232.88, 14,060.18 and 8,133.36 is: 11,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.88 : 14,060.18 = 8,133.36 : x
  2. Step 2: Convert to fraction form
    10,232.88/14,060.18 = 8,133.36/x
  3. Step 3: Cross multiply
    10,232.88x = 14,060.18 × 8,133.36
  4. Step 4: Simplify right side
    10,232.88x = 114,356,505.60
  5. Step 5: Solve for x
    x = 114,356,505.60/10,232.88
  6. Step 6: Final answer
    x = 11,175.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.