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Finding the Fourth Proportional to 11,484.55, 15,849.44 and 6,449.14

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Solution

The fourth proportional to 11,484.55, 15,849.44 and 6,449.14 is: 8,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484.55 : 15,849.44 = 6,449.14 : x
  2. Step 2: Convert to fraction form
    11,484.55/15,849.44 = 6,449.14/x
  3. Step 3: Cross multiply
    11,484.55x = 15,849.44 × 6,449.14
  4. Step 4: Simplify right side
    11,484.55x = 102,215,257.48
  5. Step 5: Solve for x
    x = 102,215,257.48/11,484.55
  6. Step 6: Final answer
    x = 8,900.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.