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Finding the Fourth Proportional to 8,431.54, 12,641.06 and 4,044.82

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Solution

The fourth proportional to 8,431.54, 12,641.06 and 4,044.82 is: 6,064.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.54 : 12,641.06 = 4,044.82 : x
  2. Step 2: Convert to fraction form
    8,431.54/12,641.06 = 4,044.82/x
  3. Step 3: Cross multiply
    8,431.54x = 12,641.06 × 4,044.82
  4. Step 4: Simplify right side
    8,431.54x = 51,130,728.88
  5. Step 5: Solve for x
    x = 51,130,728.88/8,431.54
  6. Step 6: Final answer
    x = 6,064.23

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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.