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Finding the Fourth Proportional to 11,471.52, 17,207.28 and 3,263.52

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Solution

The fourth proportional to 11,471.52, 17,207.28 and 3,263.52 is: 4,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.52 : 17,207.28 = 3,263.52 : x
  2. Step 2: Convert to fraction form
    11,471.52/17,207.28 = 3,263.52/x
  3. Step 3: Cross multiply
    11,471.52x = 17,207.28 × 3,263.52
  4. Step 4: Simplify right side
    11,471.52x = 56,156,302.43
  5. Step 5: Solve for x
    x = 56,156,302.43/11,471.52
  6. Step 6: Final answer
    x = 4,895.28

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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.