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Finding the Fourth Proportional to 11,751.48, 16,216.20 and 6,445.17

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Solution

The fourth proportional to 11,751.48, 16,216.20 and 6,445.17 is: 8,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.48 : 16,216.20 = 6,445.17 : x
  2. Step 2: Convert to fraction form
    11,751.48/16,216.20 = 6,445.17/x
  3. Step 3: Cross multiply
    11,751.48x = 16,216.20 × 6,445.17
  4. Step 4: Simplify right side
    11,751.48x = 104,516,165.75
  5. Step 5: Solve for x
    x = 104,516,165.75/11,751.48
  6. Step 6: Final answer
    x = 8,893.87

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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.