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Finding the Fourth Proportional to 10,979.28, 16,460.28 and 7,857

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Solution

The fourth proportional to 10,979.28, 16,460.28 and 7,857 is: 11,779.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,979.28 : 16,460.28 = 7,857 : x
  2. Step 2: Convert to fraction form
    10,979.28/16,460.28 = 7,857/x
  3. Step 3: Cross multiply
    10,979.28x = 16,460.28 × 7,857
  4. Step 4: Simplify right side
    10,979.28x = 129,328,419.96
  5. Step 5: Solve for x
    x = 129,328,419.96/10,979.28
  6. Step 6: Final answer
    x = 11,779.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.