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Finding the Fourth Proportional to 10,523.20, 15,765.60 and 8,564.80

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Solution

The fourth proportional to 10,523.20, 15,765.60 and 8,564.80 is: 12,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.20 : 15,765.60 = 8,564.80 : x
  2. Step 2: Convert to fraction form
    10,523.20/15,765.60 = 8,564.80/x
  3. Step 3: Cross multiply
    10,523.20x = 15,765.60 × 8,564.80
  4. Step 4: Simplify right side
    10,523.20x = 135,029,210.88
  5. Step 5: Solve for x
    x = 135,029,210.88/10,523.20
  6. Step 6: Final answer
    x = 12,831.57

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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.