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Finding the Fourth Proportional to 11,568.10, 15,963.92 and 6,532.26

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Solution

The fourth proportional to 11,568.10, 15,963.92 and 6,532.26 is: 9,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.10 : 15,963.92 = 6,532.26 : x
  2. Step 2: Convert to fraction form
    11,568.10/15,963.92 = 6,532.26/x
  3. Step 3: Cross multiply
    11,568.10x = 15,963.92 × 6,532.26
  4. Step 4: Simplify right side
    11,568.10x = 104,280,476.06
  5. Step 5: Solve for x
    x = 104,280,476.06/11,568.10
  6. Step 6: Final answer
    x = 9,014.49

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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.