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Finding the Fourth Proportional to 8,735.46, 13,077.90 and 7,834.08

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Solution

The fourth proportional to 8,735.46, 13,077.90 and 7,834.08 is: 11,728.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.46 : 13,077.90 = 7,834.08 : x
  2. Step 2: Convert to fraction form
    8,735.46/13,077.90 = 7,834.08/x
  3. Step 3: Cross multiply
    8,735.46x = 13,077.90 × 7,834.08
  4. Step 4: Simplify right side
    8,735.46x = 102,453,314.83
  5. Step 5: Solve for x
    x = 102,453,314.83/8,735.46
  6. Step 6: Final answer
    x = 11,728.44

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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.