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Finding the Fourth Proportional to 11,643.36, 16,068.51 and 6,338.04

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Solution

The fourth proportional to 11,643.36, 16,068.51 and 6,338.04 is: 8,746.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.36 : 16,068.51 = 6,338.04 : x
  2. Step 2: Convert to fraction form
    11,643.36/16,068.51 = 6,338.04/x
  3. Step 3: Cross multiply
    11,643.36x = 16,068.51 × 6,338.04
  4. Step 4: Simplify right side
    11,643.36x = 101,842,859.12
  5. Step 5: Solve for x
    x = 101,842,859.12/11,643.36
  6. Step 6: Final answer
    x = 8,746.86

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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.