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Finding the Fourth Proportional to 7,649.66, 11,474.49 and 2,459.18

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Solution

The fourth proportional to 7,649.66, 11,474.49 and 2,459.18 is: 3,688.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.66 : 11,474.49 = 2,459.18 : x
  2. Step 2: Convert to fraction form
    7,649.66/11,474.49 = 2,459.18/x
  3. Step 3: Cross multiply
    7,649.66x = 11,474.49 × 2,459.18
  4. Step 4: Simplify right side
    7,649.66x = 28,217,836.32
  5. Step 5: Solve for x
    x = 28,217,836.32/7,649.66
  6. Step 6: Final answer
    x = 3,688.77

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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.