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Finding the Fourth Proportional to 11,313.92, 16,969.92 and 3,522

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Solution

The fourth proportional to 11,313.92, 16,969.92 and 3,522 is: 5,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,313.92 : 16,969.92 = 3,522 : x
  2. Step 2: Convert to fraction form
    11,313.92/16,969.92 = 3,522/x
  3. Step 3: Cross multiply
    11,313.92x = 16,969.92 × 3,522
  4. Step 4: Simplify right side
    11,313.92x = 59,768,058.24
  5. Step 5: Solve for x
    x = 59,768,058.24/11,313.92
  6. Step 6: Final answer
    x = 5,282.70

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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.