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Finding the Fourth Proportional to 7,082.76, 10,618.35 and 4,341

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Solution

The fourth proportional to 7,082.76, 10,618.35 and 4,341 is: 6,507.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.76 : 10,618.35 = 4,341 : x
  2. Step 2: Convert to fraction form
    7,082.76/10,618.35 = 4,341/x
  3. Step 3: Cross multiply
    7,082.76x = 10,618.35 × 4,341
  4. Step 4: Simplify right side
    7,082.76x = 46,094,257.35
  5. Step 5: Solve for x
    x = 46,094,257.35/7,082.76
  6. Step 6: Final answer
    x = 6,507.95

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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.