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Finding the Fourth Proportional to 10,657.92, 14,708.72 and 6,183.20

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Solution

The fourth proportional to 10,657.92, 14,708.72 and 6,183.20 is: 8,533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.92 : 14,708.72 = 6,183.20 : x
  2. Step 2: Convert to fraction form
    10,657.92/14,708.72 = 6,183.20/x
  3. Step 3: Cross multiply
    10,657.92x = 14,708.72 × 6,183.20
  4. Step 4: Simplify right side
    10,657.92x = 90,946,957.50
  5. Step 5: Solve for x
    x = 90,946,957.50/10,657.92
  6. Step 6: Final answer
    x = 8,533.27

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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.