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Finding the Fourth Proportional to 11,413.95, 15,732.43 and 7,635.77

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Solution

The fourth proportional to 11,413.95, 15,732.43 and 7,635.77 is: 10,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.95 : 15,732.43 = 7,635.77 : x
  2. Step 2: Convert to fraction form
    11,413.95/15,732.43 = 7,635.77/x
  3. Step 3: Cross multiply
    11,413.95x = 15,732.43 × 7,635.77
  4. Step 4: Simplify right side
    11,413.95x = 120,129,178.27
  5. Step 5: Solve for x
    x = 120,129,178.27/11,413.95
  6. Step 6: Final answer
    x = 10,524.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.