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Finding the Fourth Proportional to 12,792.78, 17,655.33 and 7,128.45

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Solution

The fourth proportional to 12,792.78, 17,655.33 and 7,128.45 is: 9,837.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,792.78 : 17,655.33 = 7,128.45 : x
  2. Step 2: Convert to fraction form
    12,792.78/17,655.33 = 7,128.45/x
  3. Step 3: Cross multiply
    12,792.78x = 17,655.33 × 7,128.45
  4. Step 4: Simplify right side
    12,792.78x = 125,855,137.14
  5. Step 5: Solve for x
    x = 125,855,137.14/12,792.78
  6. Step 6: Final answer
    x = 9,837.98

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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.