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Finding the Fourth Proportional to 7,094.40, 10,638.51 and 2,413.14

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Solution

The fourth proportional to 7,094.40, 10,638.51 and 2,413.14 is: 3,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.40 : 10,638.51 = 2,413.14 : x
  2. Step 2: Convert to fraction form
    7,094.40/10,638.51 = 2,413.14/x
  3. Step 3: Cross multiply
    7,094.40x = 10,638.51 × 2,413.14
  4. Step 4: Simplify right side
    7,094.40x = 25,672,214.02
  5. Step 5: Solve for x
    x = 25,672,214.02/7,094.40
  6. Step 6: Final answer
    x = 3,618.66

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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.