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Finding the Fourth Proportional to 11,483.24, 15,846.84 and 6,447.92

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Solution

The fourth proportional to 11,483.24, 15,846.84 and 6,447.92 is: 8,898.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.24 : 15,846.84 = 6,447.92 : x
  2. Step 2: Convert to fraction form
    11,483.24/15,846.84 = 6,447.92/x
  3. Step 3: Cross multiply
    11,483.24x = 15,846.84 × 6,447.92
  4. Step 4: Simplify right side
    11,483.24x = 102,179,077.34
  5. Step 5: Solve for x
    x = 102,179,077.34/11,483.24
  6. Step 6: Final answer
    x = 8,898.11

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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.