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Finding the Fourth Proportional to 11,504, 17,261.76 and 5,264

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Solution

The fourth proportional to 11,504, 17,261.76 and 5,264 is: 7,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504 : 17,261.76 = 5,264 : x
  2. Step 2: Convert to fraction form
    11,504/17,261.76 = 5,264/x
  3. Step 3: Cross multiply
    11,504x = 17,261.76 × 5,264
  4. Step 4: Simplify right side
    11,504x = 90,865,904.64
  5. Step 5: Solve for x
    x = 90,865,904.64/11,504
  6. Step 6: Final answer
    x = 7,898.64

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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.