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Finding the Fourth Proportional to 7,453.98, 10,286.60 and 4,097.12

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Solution

The fourth proportional to 7,453.98, 10,286.60 and 4,097.12 is: 5,654.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.98 : 10,286.60 = 4,097.12 : x
  2. Step 2: Convert to fraction form
    7,453.98/10,286.60 = 4,097.12/x
  3. Step 3: Cross multiply
    7,453.98x = 10,286.60 × 4,097.12
  4. Step 4: Simplify right side
    7,453.98x = 42,145,362.67
  5. Step 5: Solve for x
    x = 42,145,362.67/7,453.98
  6. Step 6: Final answer
    x = 5,654.08

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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.