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Finding the Fourth Proportional to 11,521.64, 17,285.21 and 3,730.46

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Solution

The fourth proportional to 11,521.64, 17,285.21 and 3,730.46 is: 5,596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,521.64 : 17,285.21 = 3,730.46 : x
  2. Step 2: Convert to fraction form
    11,521.64/17,285.21 = 3,730.46/x
  3. Step 3: Cross multiply
    11,521.64x = 17,285.21 × 3,730.46
  4. Step 4: Simplify right side
    11,521.64x = 64,481,784.50
  5. Step 5: Solve for x
    x = 64,481,784.50/11,521.64
  6. Step 6: Final answer
    x = 5,596.58

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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.