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Finding the Fourth Proportional to 8,942.65, 13,415.90 and 2,702.17

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Solution

The fourth proportional to 8,942.65, 13,415.90 and 2,702.17 is: 4,053.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.65 : 13,415.90 = 2,702.17 : x
  2. Step 2: Convert to fraction form
    8,942.65/13,415.90 = 2,702.17/x
  3. Step 3: Cross multiply
    8,942.65x = 13,415.90 × 2,702.17
  4. Step 4: Simplify right side
    8,942.65x = 36,252,028.99
  5. Step 5: Solve for x
    x = 36,252,028.99/8,942.65
  6. Step 6: Final answer
    x = 4,053.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.