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Finding the Fourth Proportional to 7,718.37, 11,591.21 and 7,100.74

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Solution

The fourth proportional to 7,718.37, 11,591.21 and 7,100.74 is: 10,663.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.37 : 11,591.21 = 7,100.74 : x
  2. Step 2: Convert to fraction form
    7,718.37/11,591.21 = 7,100.74/x
  3. Step 3: Cross multiply
    7,718.37x = 11,591.21 × 7,100.74
  4. Step 4: Simplify right side
    7,718.37x = 82,306,168.50
  5. Step 5: Solve for x
    x = 82,306,168.50/7,718.37
  6. Step 6: Final answer
    x = 10,663.67

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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.