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Finding the Fourth Proportional to 12,792.08, 17,648.22 and 7,754.47

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Solution

The fourth proportional to 12,792.08, 17,648.22 and 7,754.47 is: 10,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,792.08 : 17,648.22 = 7,754.47 : x
  2. Step 2: Convert to fraction form
    12,792.08/17,648.22 = 7,754.47/x
  3. Step 3: Cross multiply
    12,792.08x = 17,648.22 × 7,754.47
  4. Step 4: Simplify right side
    12,792.08x = 136,852,548.42
  5. Step 5: Solve for x
    x = 136,852,548.42/12,792.08
  6. Step 6: Final answer
    x = 10,698.22

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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.