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Finding the Fourth Proportional to 7,097.31, 10,647.32 and 3,147.03

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Solution

The fourth proportional to 7,097.31, 10,647.32 and 3,147.03 is: 4,721.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.31 : 10,647.32 = 3,147.03 : x
  2. Step 2: Convert to fraction form
    7,097.31/10,647.32 = 3,147.03/x
  3. Step 3: Cross multiply
    7,097.31x = 10,647.32 × 3,147.03
  4. Step 4: Simplify right side
    7,097.31x = 33,507,419.72
  5. Step 5: Solve for x
    x = 33,507,419.72/7,097.31
  6. Step 6: Final answer
    x = 4,721.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.