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Finding the Fourth Proportional to 7,581.57, 11,373.57 and 3,199.67

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Solution

The fourth proportional to 7,581.57, 11,373.57 and 3,199.67 is: 4,800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581.57 : 11,373.57 = 3,199.67 : x
  2. Step 2: Convert to fraction form
    7,581.57/11,373.57 = 3,199.67/x
  3. Step 3: Cross multiply
    7,581.57x = 11,373.57 × 3,199.67
  4. Step 4: Simplify right side
    7,581.57x = 36,391,670.72
  5. Step 5: Solve for x
    x = 36,391,670.72/7,581.57
  6. Step 6: Final answer
    x = 4,800.02

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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.