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Finding the Fourth Proportional to 7,000.34, 10,489.92 and 4,223.92

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Solution

The fourth proportional to 7,000.34, 10,489.92 and 4,223.92 is: 6,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.34 : 10,489.92 = 4,223.92 : x
  2. Step 2: Convert to fraction form
    7,000.34/10,489.92 = 4,223.92/x
  3. Step 3: Cross multiply
    7,000.34x = 10,489.92 × 4,223.92
  4. Step 4: Simplify right side
    7,000.34x = 44,308,582.89
  5. Step 5: Solve for x
    x = 44,308,582.89/7,000.34
  6. Step 6: Final answer
    x = 6,329.49

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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.