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Finding the Fourth Proportional to 7,572.44, 10,449.32 and 4,215

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Solution

The fourth proportional to 7,572.44, 10,449.32 and 4,215 is: 5,816.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.44 : 10,449.32 = 4,215 : x
  2. Step 2: Convert to fraction form
    7,572.44/10,449.32 = 4,215/x
  3. Step 3: Cross multiply
    7,572.44x = 10,449.32 × 4,215
  4. Step 4: Simplify right side
    7,572.44x = 44,043,883.80
  5. Step 5: Solve for x
    x = 44,043,883.80/7,572.44
  6. Step 6: Final answer
    x = 5,816.34

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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.