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Finding the Fourth Proportional to 7,654.14, 11,471.58 and 3,492.90

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Solution

The fourth proportional to 7,654.14, 11,471.58 and 3,492.90 is: 5,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.14 : 11,471.58 = 3,492.90 : x
  2. Step 2: Convert to fraction form
    7,654.14/11,471.58 = 3,492.90/x
  3. Step 3: Cross multiply
    7,654.14x = 11,471.58 × 3,492.90
  4. Step 4: Simplify right side
    7,654.14x = 40,069,081.78
  5. Step 5: Solve for x
    x = 40,069,081.78/7,654.14
  6. Step 6: Final answer
    x = 5,234.96

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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.