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Finding the Fourth Proportional to 11,413.53, 15,758.10 and 10,216.44

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Solution

The fourth proportional to 11,413.53, 15,758.10 and 10,216.44 is: 14,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.53 : 15,758.10 = 10,216.44 : x
  2. Step 2: Convert to fraction form
    11,413.53/15,758.10 = 10,216.44/x
  3. Step 3: Cross multiply
    11,413.53x = 15,758.10 × 10,216.44
  4. Step 4: Simplify right side
    11,413.53x = 160,991,683.16
  5. Step 5: Solve for x
    x = 160,991,683.16/11,413.53
  6. Step 6: Final answer
    x = 14,105.34

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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.