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Finding the Fourth Proportional to 12,048.75, 16,634.57 and 7,864.29

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Solution

The fourth proportional to 12,048.75, 16,634.57 and 7,864.29 is: 10,857.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,048.75 : 16,634.57 = 7,864.29 : x
  2. Step 2: Convert to fraction form
    12,048.75/16,634.57 = 7,864.29/x
  3. Step 3: Cross multiply
    12,048.75x = 16,634.57 × 7,864.29
  4. Step 4: Simplify right side
    12,048.75x = 130,819,043.18
  5. Step 5: Solve for x
    x = 130,819,043.18/12,048.75
  6. Step 6: Final answer
    x = 10,857.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.