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Finding the Fourth Proportional to 7,618.30, 11,406.08 and 6,204.24

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Solution

The fourth proportional to 7,618.30, 11,406.08 and 6,204.24 is: 9,288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,618.30 : 11,406.08 = 6,204.24 : x
  2. Step 2: Convert to fraction form
    7,618.30/11,406.08 = 6,204.24/x
  3. Step 3: Cross multiply
    7,618.30x = 11,406.08 × 6,204.24
  4. Step 4: Simplify right side
    7,618.30x = 70,766,073.29
  5. Step 5: Solve for x
    x = 70,766,073.29/7,618.30
  6. Step 6: Final answer
    x = 9,288.96

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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.