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Finding the Fourth Proportional to 8,825.94, 13,240.62 and 2,983.50

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Solution

The fourth proportional to 8,825.94, 13,240.62 and 2,983.50 is: 4,475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,825.94 : 13,240.62 = 2,983.50 : x
  2. Step 2: Convert to fraction form
    8,825.94/13,240.62 = 2,983.50/x
  3. Step 3: Cross multiply
    8,825.94x = 13,240.62 × 2,983.50
  4. Step 4: Simplify right side
    8,825.94x = 39,503,389.77
  5. Step 5: Solve for x
    x = 39,503,389.77/8,825.94
  6. Step 6: Final answer
    x = 4,475.83

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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.