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Finding the Fourth Proportional to 7,732.80, 11,603.40 and 3,289.74

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Solution

The fourth proportional to 7,732.80, 11,603.40 and 3,289.74 is: 4,936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.80 : 11,603.40 = 3,289.74 : x
  2. Step 2: Convert to fraction form
    7,732.80/11,603.40 = 3,289.74/x
  3. Step 3: Cross multiply
    7,732.80x = 11,603.40 × 3,289.74
  4. Step 4: Simplify right side
    7,732.80x = 38,172,169.12
  5. Step 5: Solve for x
    x = 38,172,169.12/7,732.80
  6. Step 6: Final answer
    x = 4,936.40

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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.