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Finding the Fourth Proportional to 11,809.64, 17,715.48 and 3,044.48

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Solution

The fourth proportional to 11,809.64, 17,715.48 and 3,044.48 is: 4,566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.64 : 17,715.48 = 3,044.48 : x
  2. Step 2: Convert to fraction form
    11,809.64/17,715.48 = 3,044.48/x
  3. Step 3: Cross multiply
    11,809.64x = 17,715.48 × 3,044.48
  4. Step 4: Simplify right side
    11,809.64x = 53,934,424.55
  5. Step 5: Solve for x
    x = 53,934,424.55/11,809.64
  6. Step 6: Final answer
    x = 4,566.98

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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.