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Finding the Fourth Proportional to 7,544.01, 10,409.85 and 4,186.50

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Solution

The fourth proportional to 7,544.01, 10,409.85 and 4,186.50 is: 5,776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.01 : 10,409.85 = 4,186.50 : x
  2. Step 2: Convert to fraction form
    7,544.01/10,409.85 = 4,186.50/x
  3. Step 3: Cross multiply
    7,544.01x = 10,409.85 × 4,186.50
  4. Step 4: Simplify right side
    7,544.01x = 43,580,837.03
  5. Step 5: Solve for x
    x = 43,580,837.03/7,544.01
  6. Step 6: Final answer
    x = 5,776.88

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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.