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Finding the Fourth Proportional to 7,492.82, 11,246.13 and 3,797.64

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Solution

The fourth proportional to 7,492.82, 11,246.13 and 3,797.64 is: 5,699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.82 : 11,246.13 = 3,797.64 : x
  2. Step 2: Convert to fraction form
    7,492.82/11,246.13 = 3,797.64/x
  3. Step 3: Cross multiply
    7,492.82x = 11,246.13 × 3,797.64
  4. Step 4: Simplify right side
    7,492.82x = 42,708,753.13
  5. Step 5: Solve for x
    x = 42,708,753.13/7,492.82
  6. Step 6: Final answer
    x = 5,699.96

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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.