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Finding the Fourth Proportional to 8,153.98, 11,252.47 and 4,427.98

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Solution

The fourth proportional to 8,153.98, 11,252.47 and 4,427.98 is: 6,110.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.98 : 11,252.47 = 4,427.98 : x
  2. Step 2: Convert to fraction form
    8,153.98/11,252.47 = 4,427.98/x
  3. Step 3: Cross multiply
    8,153.98x = 11,252.47 × 4,427.98
  4. Step 4: Simplify right side
    8,153.98x = 49,825,712.11
  5. Step 5: Solve for x
    x = 49,825,712.11/8,153.98
  6. Step 6: Final answer
    x = 6,110.60

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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.