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Finding the Fourth Proportional to 7,137.60, 10,707.20 and 2,207.20

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Solution

The fourth proportional to 7,137.60, 10,707.20 and 2,207.20 is: 3,311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.60 : 10,707.20 = 2,207.20 : x
  2. Step 2: Convert to fraction form
    7,137.60/10,707.20 = 2,207.20/x
  3. Step 3: Cross multiply
    7,137.60x = 10,707.20 × 2,207.20
  4. Step 4: Simplify right side
    7,137.60x = 23,632,931.84
  5. Step 5: Solve for x
    x = 23,632,931.84/7,137.60
  6. Step 6: Final answer
    x = 3,311.05

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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.