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Finding the Fourth Proportional to 10,644.28, 14,689.74 and 6,166.60

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Solution

The fourth proportional to 10,644.28, 14,689.74 and 6,166.60 is: 8,510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.28 : 14,689.74 = 6,166.60 : x
  2. Step 2: Convert to fraction form
    10,644.28/14,689.74 = 6,166.60/x
  3. Step 3: Cross multiply
    10,644.28x = 14,689.74 × 6,166.60
  4. Step 4: Simplify right side
    10,644.28x = 90,585,750.68
  5. Step 5: Solve for x
    x = 90,585,750.68/10,644.28
  6. Step 6: Final answer
    x = 8,510.28

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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.