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Finding the Fourth Proportional to 7,420.50, 11,133.08 and 4,462.18

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Solution

The fourth proportional to 7,420.50, 11,133.08 and 4,462.18 is: 6,694.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420.50 : 11,133.08 = 4,462.18 : x
  2. Step 2: Convert to fraction form
    7,420.50/11,133.08 = 4,462.18/x
  3. Step 3: Cross multiply
    7,420.50x = 11,133.08 × 4,462.18
  4. Step 4: Simplify right side
    7,420.50x = 49,677,806.91
  5. Step 5: Solve for x
    x = 49,677,806.91/7,420.50
  6. Step 6: Final answer
    x = 6,694.67

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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.