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Finding the Fourth Proportional to 8,834.70, 13,252.05 and 2,261.40

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Solution

The fourth proportional to 8,834.70, 13,252.05 and 2,261.40 is: 3,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,834.70 : 13,252.05 = 2,261.40 : x
  2. Step 2: Convert to fraction form
    8,834.70/13,252.05 = 2,261.40/x
  3. Step 3: Cross multiply
    8,834.70x = 13,252.05 × 2,261.40
  4. Step 4: Simplify right side
    8,834.70x = 29,968,185.87
  5. Step 5: Solve for x
    x = 29,968,185.87/8,834.70
  6. Step 6: Final answer
    x = 3,392.10

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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.