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Finding the Fourth Proportional to 13,610.35, 18,782.31 and 7,642

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Solution

The fourth proportional to 13,610.35, 18,782.31 and 7,642 is: 10,545.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,610.35 : 18,782.31 = 7,642 : x
  2. Step 2: Convert to fraction form
    13,610.35/18,782.31 = 7,642/x
  3. Step 3: Cross multiply
    13,610.35x = 18,782.31 × 7,642
  4. Step 4: Simplify right side
    13,610.35x = 143,534,413.02
  5. Step 5: Solve for x
    x = 143,534,413.02/13,610.35
  6. Step 6: Final answer
    x = 10,545.98

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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.