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Finding the Fourth Proportional to 10,660.64, 14,710.28 and 6,183.78

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Solution

The fourth proportional to 10,660.64, 14,710.28 and 6,183.78 is: 8,532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.64 : 14,710.28 = 6,183.78 : x
  2. Step 2: Convert to fraction form
    10,660.64/14,710.28 = 6,183.78/x
  3. Step 3: Cross multiply
    10,660.64x = 14,710.28 × 6,183.78
  4. Step 4: Simplify right side
    10,660.64x = 90,965,135.26
  5. Step 5: Solve for x
    x = 90,965,135.26/10,660.64
  6. Step 6: Final answer
    x = 8,532.80

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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.