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Finding the Fourth Proportional to 7,642.69, 11,465.24 and 3,260.18

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Solution

The fourth proportional to 7,642.69, 11,465.24 and 3,260.18 is: 4,890.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.69 : 11,465.24 = 3,260.18 : x
  2. Step 2: Convert to fraction form
    7,642.69/11,465.24 = 3,260.18/x
  3. Step 3: Cross multiply
    7,642.69x = 11,465.24 × 3,260.18
  4. Step 4: Simplify right side
    7,642.69x = 37,378,746.14
  5. Step 5: Solve for x
    x = 37,378,746.14/7,642.69
  6. Step 6: Final answer
    x = 4,890.78

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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.