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Finding the Fourth Proportional to 10,664.94, 14,717.88 and 5,949.30

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Solution

The fourth proportional to 10,664.94, 14,717.88 and 5,949.30 is: 8,210.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664.94 : 14,717.88 = 5,949.30 : x
  2. Step 2: Convert to fraction form
    10,664.94/14,717.88 = 5,949.30/x
  3. Step 3: Cross multiply
    10,664.94x = 14,717.88 × 5,949.30
  4. Step 4: Simplify right side
    10,664.94x = 87,561,083.48
  5. Step 5: Solve for x
    x = 87,561,083.48/10,664.94
  6. Step 6: Final answer
    x = 8,210.18

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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.