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Finding the Fourth Proportional to 11,917.63, 16,442.07 and 7,439.68

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Solution

The fourth proportional to 11,917.63, 16,442.07 and 7,439.68 is: 10,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.63 : 16,442.07 = 7,439.68 : x
  2. Step 2: Convert to fraction form
    11,917.63/16,442.07 = 7,439.68/x
  3. Step 3: Cross multiply
    11,917.63x = 16,442.07 × 7,439.68
  4. Step 4: Simplify right side
    11,917.63x = 122,323,657.13
  5. Step 5: Solve for x
    x = 122,323,657.13/11,917.63
  6. Step 6: Final answer
    x = 10,264.10

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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.