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Finding the Fourth Proportional to 7,087, 10,630.50 and 1,892.76

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Solution

The fourth proportional to 7,087, 10,630.50 and 1,892.76 is: 2,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087 : 10,630.50 = 1,892.76 : x
  2. Step 2: Convert to fraction form
    7,087/10,630.50 = 1,892.76/x
  3. Step 3: Cross multiply
    7,087x = 10,630.50 × 1,892.76
  4. Step 4: Simplify right side
    7,087x = 20,120,985.18
  5. Step 5: Solve for x
    x = 20,120,985.18/7,087
  6. Step 6: Final answer
    x = 2,839.14

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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.