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Finding the Fourth Proportional to 10,263, 14,163.80 and 5,786.52

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Solution

The fourth proportional to 10,263, 14,163.80 and 5,786.52 is: 7,985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263 : 14,163.80 = 5,786.52 : x
  2. Step 2: Convert to fraction form
    10,263/14,163.80 = 5,786.52/x
  3. Step 3: Cross multiply
    10,263x = 14,163.80 × 5,786.52
  4. Step 4: Simplify right side
    10,263x = 81,959,111.98
  5. Step 5: Solve for x
    x = 81,959,111.98/10,263
  6. Step 6: Final answer
    x = 7,985.88

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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.