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Finding the Fourth Proportional to 10,627.12, 15,942.12 and 3,700

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Solution

The fourth proportional to 10,627.12, 15,942.12 and 3,700 is: 5,550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.12 : 15,942.12 = 3,700 : x
  2. Step 2: Convert to fraction form
    10,627.12/15,942.12 = 3,700/x
  3. Step 3: Cross multiply
    10,627.12x = 15,942.12 × 3,700
  4. Step 4: Simplify right side
    10,627.12x = 58,985,844
  5. Step 5: Solve for x
    x = 58,985,844/10,627.12
  6. Step 6: Final answer
    x = 5,550.50

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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.