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Finding the Fourth Proportional to 7,097.30, 10,647.30 and 2,417.12

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Solution

The fourth proportional to 7,097.30, 10,647.30 and 2,417.12 is: 3,626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.30 : 10,647.30 = 2,417.12 : x
  2. Step 2: Convert to fraction form
    7,097.30/10,647.30 = 2,417.12/x
  3. Step 3: Cross multiply
    7,097.30x = 10,647.30 × 2,417.12
  4. Step 4: Simplify right side
    7,097.30x = 25,735,748.54
  5. Step 5: Solve for x
    x = 25,735,748.54/7,097.30
  6. Step 6: Final answer
    x = 3,626.13

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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.