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Finding the Fourth Proportional to 10,263.88, 14,164.74 and 5,789.56

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Solution

The fourth proportional to 10,263.88, 14,164.74 and 5,789.56 is: 7,989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263.88 : 14,164.74 = 5,789.56 : x
  2. Step 2: Convert to fraction form
    10,263.88/14,164.74 = 5,789.56/x
  3. Step 3: Cross multiply
    10,263.88x = 14,164.74 × 5,789.56
  4. Step 4: Simplify right side
    10,263.88x = 82,007,612.11
  5. Step 5: Solve for x
    x = 82,007,612.11/10,263.88
  6. Step 6: Final answer
    x = 7,989.92

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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.