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Finding the Fourth Proportional to 7,085.38, 10,630.13 and 3,136.50

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Solution

The fourth proportional to 7,085.38, 10,630.13 and 3,136.50 is: 4,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.38 : 10,630.13 = 3,136.50 : x
  2. Step 2: Convert to fraction form
    7,085.38/10,630.13 = 3,136.50/x
  3. Step 3: Cross multiply
    7,085.38x = 10,630.13 × 3,136.50
  4. Step 4: Simplify right side
    7,085.38x = 33,341,402.75
  5. Step 5: Solve for x
    x = 33,341,402.75/7,085.38
  6. Step 6: Final answer
    x = 4,705.66

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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.