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Finding the Fourth Proportional to 12,362.63, 17,060.15 and 7,584.44

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Solution

The fourth proportional to 12,362.63, 17,060.15 and 7,584.44 is: 10,466.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,362.63 : 17,060.15 = 7,584.44 : x
  2. Step 2: Convert to fraction form
    12,362.63/17,060.15 = 7,584.44/x
  3. Step 3: Cross multiply
    12,362.63x = 17,060.15 × 7,584.44
  4. Step 4: Simplify right side
    12,362.63x = 129,391,617.73
  5. Step 5: Solve for x
    x = 129,391,617.73/12,362.63
  6. Step 6: Final answer
    x = 10,466.35

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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.