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Finding the Fourth Proportional to 7,097.38, 10,647.33 and 2,417.92

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Solution

The fourth proportional to 7,097.38, 10,647.33 and 2,417.92 is: 3,627.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.38 : 10,647.33 = 2,417.92 : x
  2. Step 2: Convert to fraction form
    7,097.38/10,647.33 = 2,417.92/x
  3. Step 3: Cross multiply
    7,097.38x = 10,647.33 × 2,417.92
  4. Step 4: Simplify right side
    7,097.38x = 25,744,392.15
  5. Step 5: Solve for x
    x = 25,744,392.15/7,097.38
  6. Step 6: Final answer
    x = 3,627.31

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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.