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Finding the Fourth Proportional to 6,712.56, 10,069.38 and 2,329.92

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Solution

The fourth proportional to 6,712.56, 10,069.38 and 2,329.92 is: 3,495.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.56 : 10,069.38 = 2,329.92 : x
  2. Step 2: Convert to fraction form
    6,712.56/10,069.38 = 2,329.92/x
  3. Step 3: Cross multiply
    6,712.56x = 10,069.38 × 2,329.92
  4. Step 4: Simplify right side
    6,712.56x = 23,460,849.85
  5. Step 5: Solve for x
    x = 23,460,849.85/6,712.56
  6. Step 6: Final answer
    x = 3,495.07

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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.