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Finding the Fourth Proportional to 11,717.76, 17,573.20 and 4,697.76

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Solution

The fourth proportional to 11,717.76, 17,573.20 and 4,697.76 is: 7,045.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.76 : 17,573.20 = 4,697.76 : x
  2. Step 2: Convert to fraction form
    11,717.76/17,573.20 = 4,697.76/x
  3. Step 3: Cross multiply
    11,717.76x = 17,573.20 × 4,697.76
  4. Step 4: Simplify right side
    11,717.76x = 82,554,676.03
  5. Step 5: Solve for x
    x = 82,554,676.03/11,717.76
  6. Step 6: Final answer
    x = 7,045.26

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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.