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Finding the Fourth Proportional to 12,792.53, 17,654.93 and 7,760.30

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Solution

The fourth proportional to 12,792.53, 17,654.93 and 7,760.30 is: 10,709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,792.53 : 17,654.93 = 7,760.30 : x
  2. Step 2: Convert to fraction form
    12,792.53/17,654.93 = 7,760.30/x
  3. Step 3: Cross multiply
    12,792.53x = 17,654.93 × 7,760.30
  4. Step 4: Simplify right side
    12,792.53x = 137,007,484.41
  5. Step 5: Solve for x
    x = 137,007,484.41/12,792.53
  6. Step 6: Final answer
    x = 10,709.96

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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.