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Finding the Fourth Proportional to 11,874.64, 16,386.18 and 6,837.68

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Solution

The fourth proportional to 11,874.64, 16,386.18 and 6,837.68 is: 9,435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.64 : 16,386.18 = 6,837.68 : x
  2. Step 2: Convert to fraction form
    11,874.64/16,386.18 = 6,837.68/x
  3. Step 3: Cross multiply
    11,874.64x = 16,386.18 × 6,837.68
  4. Step 4: Simplify right side
    11,874.64x = 112,043,455.26
  5. Step 5: Solve for x
    x = 112,043,455.26/11,874.64
  6. Step 6: Final answer
    x = 9,435.52

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Why These Related Problems?

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