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Finding the Fourth Proportional to 7,354.80, 10,150.48 and 4,212

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Solution

The fourth proportional to 7,354.80, 10,150.48 and 4,212 is: 5,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.80 : 10,150.48 = 4,212 : x
  2. Step 2: Convert to fraction form
    7,354.80/10,150.48 = 4,212/x
  3. Step 3: Cross multiply
    7,354.80x = 10,150.48 × 4,212
  4. Step 4: Simplify right side
    7,354.80x = 42,753,821.76
  5. Step 5: Solve for x
    x = 42,753,821.76/7,354.80
  6. Step 6: Final answer
    x = 5,813.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.