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Finding the Fourth Proportional to 7,387.68, 11,083.14 and 3,492.12

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Solution

The fourth proportional to 7,387.68, 11,083.14 and 3,492.12 is: 5,238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.68 : 11,083.14 = 3,492.12 : x
  2. Step 2: Convert to fraction form
    7,387.68/11,083.14 = 3,492.12/x
  3. Step 3: Cross multiply
    7,387.68x = 11,083.14 × 3,492.12
  4. Step 4: Simplify right side
    7,387.68x = 38,703,654.86
  5. Step 5: Solve for x
    x = 38,703,654.86/7,387.68
  6. Step 6: Final answer
    x = 5,238.95

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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.