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Finding the Fourth Proportional to 11,568.14, 15,964.12 and 6,263

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Solution

The fourth proportional to 11,568.14, 15,964.12 and 6,263 is: 8,642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.14 : 15,964.12 = 6,263 : x
  2. Step 2: Convert to fraction form
    11,568.14/15,964.12 = 6,263/x
  3. Step 3: Cross multiply
    11,568.14x = 15,964.12 × 6,263
  4. Step 4: Simplify right side
    11,568.14x = 99,983,283.56
  5. Step 5: Solve for x
    x = 99,983,283.56/11,568.14
  6. Step 6: Final answer
    x = 8,642.99

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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.