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Finding the Fourth Proportional to 14,052.52, 19,393.62 and 7,765

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Solution

The fourth proportional to 14,052.52, 19,393.62 and 7,765 is: 10,716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,052.52 : 19,393.62 = 7,765 : x
  2. Step 2: Convert to fraction form
    14,052.52/19,393.62 = 7,765/x
  3. Step 3: Cross multiply
    14,052.52x = 19,393.62 × 7,765
  4. Step 4: Simplify right side
    14,052.52x = 150,591,459.30
  5. Step 5: Solve for x
    x = 150,591,459.30/14,052.52
  6. Step 6: Final answer
    x = 10,716.33

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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.