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Finding the Fourth Proportional to 11,595.92, 17,390.28 and 3,803

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Solution

The fourth proportional to 11,595.92, 17,390.28 and 3,803 is: 5,703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.92 : 17,390.28 = 3,803 : x
  2. Step 2: Convert to fraction form
    11,595.92/17,390.28 = 3,803/x
  3. Step 3: Cross multiply
    11,595.92x = 17,390.28 × 3,803
  4. Step 4: Simplify right side
    11,595.92x = 66,135,234.84
  5. Step 5: Solve for x
    x = 66,135,234.84/11,595.92
  6. Step 6: Final answer
    x = 5,703.32

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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.