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Finding the Fourth Proportional to 7,540.14, 10,405.14 and 4,555.45

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Solution

The fourth proportional to 7,540.14, 10,405.14 and 4,555.45 is: 6,286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.14 : 10,405.14 = 4,555.45 : x
  2. Step 2: Convert to fraction form
    7,540.14/10,405.14 = 4,555.45/x
  3. Step 3: Cross multiply
    7,540.14x = 10,405.14 × 4,555.45
  4. Step 4: Simplify right side
    7,540.14x = 47,400,095.01
  5. Step 5: Solve for x
    x = 47,400,095.01/7,540.14
  6. Step 6: Final answer
    x = 6,286.37

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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.