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Finding the Fourth Proportional to 11,568.32, 15,964.28 and 6,263.14

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Solution

The fourth proportional to 11,568.32, 15,964.28 and 6,263.14 is: 8,643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.32 : 15,964.28 = 6,263.14 : x
  2. Step 2: Convert to fraction form
    11,568.32/15,964.28 = 6,263.14/x
  3. Step 3: Cross multiply
    11,568.32x = 15,964.28 × 6,263.14
  4. Step 4: Simplify right side
    11,568.32x = 99,986,538.06
  5. Step 5: Solve for x
    x = 99,986,538.06/11,568.32
  6. Step 6: Final answer
    x = 8,643.13

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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.