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Finding the Fourth Proportional to 7,708.57, 11,544.19 and 4,411.67

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Solution

The fourth proportional to 7,708.57, 11,544.19 and 4,411.67 is: 6,606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.57 : 11,544.19 = 4,411.67 : x
  2. Step 2: Convert to fraction form
    7,708.57/11,544.19 = 4,411.67/x
  3. Step 3: Cross multiply
    7,708.57x = 11,544.19 × 4,411.67
  4. Step 4: Simplify right side
    7,708.57x = 50,929,087.95
  5. Step 5: Solve for x
    x = 50,929,087.95/7,708.57
  6. Step 6: Final answer
    x = 6,606.82

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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.