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Finding the Fourth Proportional to 11,411.76, 17,117.28 and 4,833.72

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Solution

The fourth proportional to 11,411.76, 17,117.28 and 4,833.72 is: 7,250.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.76 : 17,117.28 = 4,833.72 : x
  2. Step 2: Convert to fraction form
    11,411.76/17,117.28 = 4,833.72/x
  3. Step 3: Cross multiply
    11,411.76x = 17,117.28 × 4,833.72
  4. Step 4: Simplify right side
    11,411.76x = 82,740,138.68
  5. Step 5: Solve for x
    x = 82,740,138.68/11,411.76
  6. Step 6: Final answer
    x = 7,250.43

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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.