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Finding the Fourth Proportional to 11,568.20, 15,964.09 and 6,263.01

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Solution

The fourth proportional to 11,568.20, 15,964.09 and 6,263.01 is: 8,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.20 : 15,964.09 = 6,263.01 : x
  2. Step 2: Convert to fraction form
    11,568.20/15,964.09 = 6,263.01/x
  3. Step 3: Cross multiply
    11,568.20x = 15,964.09 × 6,263.01
  4. Step 4: Simplify right side
    11,568.20x = 99,983,255.31
  5. Step 5: Solve for x
    x = 99,983,255.31/11,568.20
  6. Step 6: Final answer
    x = 8,642.94

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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.