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Finding the Fourth Proportional to 11,238.72, 15,497.28 and 7,656

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Solution

The fourth proportional to 11,238.72, 15,497.28 and 7,656 is: 10,557.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.72 : 15,497.28 = 7,656 : x
  2. Step 2: Convert to fraction form
    11,238.72/15,497.28 = 7,656/x
  3. Step 3: Cross multiply
    11,238.72x = 15,497.28 × 7,656
  4. Step 4: Simplify right side
    11,238.72x = 118,647,175.68
  5. Step 5: Solve for x
    x = 118,647,175.68/11,238.72
  6. Step 6: Final answer
    x = 10,557.00

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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.