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Finding the Fourth Proportional to 8,046.34, 11,103.39 and 4,461.27

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Solution

The fourth proportional to 8,046.34, 11,103.39 and 4,461.27 is: 6,156.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.34 : 11,103.39 = 4,461.27 : x
  2. Step 2: Convert to fraction form
    8,046.34/11,103.39 = 4,461.27/x
  3. Step 3: Cross multiply
    8,046.34x = 11,103.39 × 4,461.27
  4. Step 4: Simplify right side
    8,046.34x = 49,535,220.71
  5. Step 5: Solve for x
    x = 49,535,220.71/8,046.34
  6. Step 6: Final answer
    x = 6,156.24

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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.