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Finding the Fourth Proportional to 10,564.16, 15,859.20 and 6,183.68

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Solution

The fourth proportional to 10,564.16, 15,859.20 and 6,183.68 is: 9,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.16 : 15,859.20 = 6,183.68 : x
  2. Step 2: Convert to fraction form
    10,564.16/15,859.20 = 6,183.68/x
  3. Step 3: Cross multiply
    10,564.16x = 15,859.20 × 6,183.68
  4. Step 4: Simplify right side
    10,564.16x = 98,068,217.86
  5. Step 5: Solve for x
    x = 98,068,217.86/10,564.16
  6. Step 6: Final answer
    x = 9,283.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.