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Finding the Fourth Proportional to 8,411.16, 11,606.31 and 5,053.44

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Solution

The fourth proportional to 8,411.16, 11,606.31 and 5,053.44 is: 6,973.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.16 : 11,606.31 = 5,053.44 : x
  2. Step 2: Convert to fraction form
    8,411.16/11,606.31 = 5,053.44/x
  3. Step 3: Cross multiply
    8,411.16x = 11,606.31 × 5,053.44
  4. Step 4: Simplify right side
    8,411.16x = 58,651,791.21
  5. Step 5: Solve for x
    x = 58,651,791.21/8,411.16
  6. Step 6: Final answer
    x = 6,973.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.