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Finding the Fourth Proportional to 7,486.52, 11,234.76 and 4,202.52

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Solution

The fourth proportional to 7,486.52, 11,234.76 and 4,202.52 is: 6,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.52 : 11,234.76 = 4,202.52 : x
  2. Step 2: Convert to fraction form
    7,486.52/11,234.76 = 4,202.52/x
  3. Step 3: Cross multiply
    7,486.52x = 11,234.76 × 4,202.52
  4. Step 4: Simplify right side
    7,486.52x = 47,214,303.60
  5. Step 5: Solve for x
    x = 47,214,303.60/7,486.52
  6. Step 6: Final answer
    x = 6,306.58

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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.