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Finding the Fourth Proportional to 7,087.50, 10,627.68 and 4,126.90

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Solution

The fourth proportional to 7,087.50, 10,627.68 and 4,126.90 is: 6,188.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.50 : 10,627.68 = 4,126.90 : x
  2. Step 2: Convert to fraction form
    7,087.50/10,627.68 = 4,126.90/x
  3. Step 3: Cross multiply
    7,087.50x = 10,627.68 × 4,126.90
  4. Step 4: Simplify right side
    7,087.50x = 43,859,325.39
  5. Step 5: Solve for x
    x = 43,859,325.39/7,087.50
  6. Step 6: Final answer
    x = 6,188.27

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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.