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Finding the Fourth Proportional to 12,792.86, 17,654.06 and 7,486.64

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Solution

The fourth proportional to 12,792.86, 17,654.06 and 7,486.64 is: 10,331.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,792.86 : 17,654.06 = 7,486.64 : x
  2. Step 2: Convert to fraction form
    12,792.86/17,654.06 = 7,486.64/x
  3. Step 3: Cross multiply
    12,792.86x = 17,654.06 × 7,486.64
  4. Step 4: Simplify right side
    12,792.86x = 132,169,591.76
  5. Step 5: Solve for x
    x = 132,169,591.76/12,792.86
  6. Step 6: Final answer
    x = 10,331.51

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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.