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Finding the Fourth Proportional to 7,544.03, 10,409.51 and 4,186.31

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Solution

The fourth proportional to 7,544.03, 10,409.51 and 4,186.31 is: 5,776.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.03 : 10,409.51 = 4,186.31 : x
  2. Step 2: Convert to fraction form
    7,544.03/10,409.51 = 4,186.31/x
  3. Step 3: Cross multiply
    7,544.03x = 10,409.51 × 4,186.31
  4. Step 4: Simplify right side
    7,544.03x = 43,577,414.88
  5. Step 5: Solve for x
    x = 43,577,414.88/7,544.03
  6. Step 6: Final answer
    x = 5,776.41

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