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Finding the Fourth Proportional to 7,584.77, 11,369.81 and 2,901.17

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Solution

The fourth proportional to 7,584.77, 11,369.81 and 2,901.17 is: 4,348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.77 : 11,369.81 = 2,901.17 : x
  2. Step 2: Convert to fraction form
    7,584.77/11,369.81 = 2,901.17/x
  3. Step 3: Cross multiply
    7,584.77x = 11,369.81 × 2,901.17
  4. Step 4: Simplify right side
    7,584.77x = 32,985,737.17
  5. Step 5: Solve for x
    x = 32,985,737.17/7,584.77
  6. Step 6: Final answer
    x = 4,348.95

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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.