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Finding the Fourth Proportional to 7,346.76, 10,138.50 and 4,203

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Solution

The fourth proportional to 7,346.76, 10,138.50 and 4,203 is: 5,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.76 : 10,138.50 = 4,203 : x
  2. Step 2: Convert to fraction form
    7,346.76/10,138.50 = 4,203/x
  3. Step 3: Cross multiply
    7,346.76x = 10,138.50 × 4,203
  4. Step 4: Simplify right side
    7,346.76x = 42,612,115.50
  5. Step 5: Solve for x
    x = 42,612,115.50/7,346.76
  6. Step 6: Final answer
    x = 5,800.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.