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Finding the Fourth Proportional to 7,674.62, 11,509.65 and 3,291.03

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Solution

The fourth proportional to 7,674.62, 11,509.65 and 3,291.03 is: 4,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.62 : 11,509.65 = 3,291.03 : x
  2. Step 2: Convert to fraction form
    7,674.62/11,509.65 = 3,291.03/x
  3. Step 3: Cross multiply
    7,674.62x = 11,509.65 × 3,291.03
  4. Step 4: Simplify right side
    7,674.62x = 37,878,603.44
  5. Step 5: Solve for x
    x = 37,878,603.44/7,674.62
  6. Step 6: Final answer
    x = 4,935.57

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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.