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Finding the Fourth Proportional to 12,992.76, 17,930.18 and 7,886.80

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Solution

The fourth proportional to 12,992.76, 17,930.18 and 7,886.80 is: 10,883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.76 : 17,930.18 = 7,886.80 : x
  2. Step 2: Convert to fraction form
    12,992.76/17,930.18 = 7,886.80/x
  3. Step 3: Cross multiply
    12,992.76x = 17,930.18 × 7,886.80
  4. Step 4: Simplify right side
    12,992.76x = 141,411,704.19
  5. Step 5: Solve for x
    x = 141,411,704.19/12,992.76
  6. Step 6: Final answer
    x = 10,883.88

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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.