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Finding the Fourth Proportional to 11,179.68, 15,428.88 and 6,992.16

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Solution

The fourth proportional to 11,179.68, 15,428.88 and 6,992.16 is: 9,649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,179.68 : 15,428.88 = 6,992.16 : x
  2. Step 2: Convert to fraction form
    11,179.68/15,428.88 = 6,992.16/x
  3. Step 3: Cross multiply
    11,179.68x = 15,428.88 × 6,992.16
  4. Step 4: Simplify right side
    11,179.68x = 107,881,197.58
  5. Step 5: Solve for x
    x = 107,881,197.58/11,179.68
  6. Step 6: Final answer
    x = 9,649.76

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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.