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Finding the Fourth Proportional to 7,688.16, 11,523.11 and 3,524.67

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Solution

The fourth proportional to 7,688.16, 11,523.11 and 3,524.67 is: 5,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.16 : 11,523.11 = 3,524.67 : x
  2. Step 2: Convert to fraction form
    7,688.16/11,523.11 = 3,524.67/x
  3. Step 3: Cross multiply
    7,688.16x = 11,523.11 × 3,524.67
  4. Step 4: Simplify right side
    7,688.16x = 40,615,142.50
  5. Step 5: Solve for x
    x = 40,615,142.50/7,688.16
  6. Step 6: Final answer
    x = 5,282.82

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Why These Related Problems?

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