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Finding the Fourth Proportional to 10,591.92, 15,888.60 and 3,664.08

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Solution

The fourth proportional to 10,591.92, 15,888.60 and 3,664.08 is: 5,496.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.92 : 15,888.60 = 3,664.08 : x
  2. Step 2: Convert to fraction form
    10,591.92/15,888.60 = 3,664.08/x
  3. Step 3: Cross multiply
    10,591.92x = 15,888.60 × 3,664.08
  4. Step 4: Simplify right side
    10,591.92x = 58,217,101.49
  5. Step 5: Solve for x
    x = 58,217,101.49/10,591.92
  6. Step 6: Final answer
    x = 5,496.37

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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.