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Finding the Fourth Proportional to 7,630.55, 11,442.30 and 3,470.39

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Solution

The fourth proportional to 7,630.55, 11,442.30 and 3,470.39 is: 5,203.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.55 : 11,442.30 = 3,470.39 : x
  2. Step 2: Convert to fraction form
    7,630.55/11,442.30 = 3,470.39/x
  3. Step 3: Cross multiply
    7,630.55x = 11,442.30 × 3,470.39
  4. Step 4: Simplify right side
    7,630.55x = 39,709,243.50
  5. Step 5: Solve for x
    x = 39,709,243.50/7,630.55
  6. Step 6: Final answer
    x = 5,203.98

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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.