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Finding the Fourth Proportional to 10,115.82, 15,181.68 and 7,017.63

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Solution

The fourth proportional to 10,115.82, 15,181.68 and 7,017.63 is: 10,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.82 : 15,181.68 = 7,017.63 : x
  2. Step 2: Convert to fraction form
    10,115.82/15,181.68 = 7,017.63/x
  3. Step 3: Cross multiply
    10,115.82x = 15,181.68 × 7,017.63
  4. Step 4: Simplify right side
    10,115.82x = 106,539,413.02
  5. Step 5: Solve for x
    x = 106,539,413.02/10,115.82
  6. Step 6: Final answer
    x = 10,531.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.