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Finding the Fourth Proportional to 6,992.10, 10,478.84 and 2,605.14

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Solution

The fourth proportional to 6,992.10, 10,478.84 and 2,605.14 is: 3,904.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.10 : 10,478.84 = 2,605.14 : x
  2. Step 2: Convert to fraction form
    6,992.10/10,478.84 = 2,605.14/x
  3. Step 3: Cross multiply
    6,992.10x = 10,478.84 × 2,605.14
  4. Step 4: Simplify right side
    6,992.10x = 27,298,832.21
  5. Step 5: Solve for x
    x = 27,298,832.21/6,992.10
  6. Step 6: Final answer
    x = 3,904.24

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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.