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Finding the Fourth Proportional to 7,645.62, 11,466.35 and 2,097.65

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Solution

The fourth proportional to 7,645.62, 11,466.35 and 2,097.65 is: 3,145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.62 : 11,466.35 = 2,097.65 : x
  2. Step 2: Convert to fraction form
    7,645.62/11,466.35 = 2,097.65/x
  3. Step 3: Cross multiply
    7,645.62x = 11,466.35 × 2,097.65
  4. Step 4: Simplify right side
    7,645.62x = 24,052,426.92
  5. Step 5: Solve for x
    x = 24,052,426.92/7,645.62
  6. Step 6: Final answer
    x = 3,145.91

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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.