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Finding the Fourth Proportional to 13,252.28, 18,287.01 and 7,800.77

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Solution

The fourth proportional to 13,252.28, 18,287.01 and 7,800.77 is: 10,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,252.28 : 18,287.01 = 7,800.77 : x
  2. Step 2: Convert to fraction form
    13,252.28/18,287.01 = 7,800.77/x
  3. Step 3: Cross multiply
    13,252.28x = 18,287.01 × 7,800.77
  4. Step 4: Simplify right side
    13,252.28x = 142,652,759.00
  5. Step 5: Solve for x
    x = 142,652,759.00/13,252.28
  6. Step 6: Final answer
    x = 10,764.39

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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.