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Finding the Fourth Proportional to 7,544, 10,410.80 and 4,232

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Solution

The fourth proportional to 7,544, 10,410.80 and 4,232 is: 5,840.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544 : 10,410.80 = 4,232 : x
  2. Step 2: Convert to fraction form
    7,544/10,410.80 = 4,232/x
  3. Step 3: Cross multiply
    7,544x = 10,410.80 × 4,232
  4. Step 4: Simplify right side
    7,544x = 44,058,505.60
  5. Step 5: Solve for x
    x = 44,058,505.60/7,544
  6. Step 6: Final answer
    x = 5,840.20

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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.