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Finding the Fourth Proportional to 6,763.42, 10,136.31 and 4,895.61

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Solution

The fourth proportional to 6,763.42, 10,136.31 and 4,895.61 is: 7,337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.42 : 10,136.31 = 4,895.61 : x
  2. Step 2: Convert to fraction form
    6,763.42/10,136.31 = 4,895.61/x
  3. Step 3: Cross multiply
    6,763.42x = 10,136.31 × 4,895.61
  4. Step 4: Simplify right side
    6,763.42x = 49,623,364.23
  5. Step 5: Solve for x
    x = 49,623,364.23/6,763.42
  6. Step 6: Final answer
    x = 7,337.02

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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.