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Finding the Fourth Proportional to 7,607.32, 11,410.38 and 2,413.24

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Solution

The fourth proportional to 7,607.32, 11,410.38 and 2,413.24 is: 3,619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.32 : 11,410.38 = 2,413.24 : x
  2. Step 2: Convert to fraction form
    7,607.32/11,410.38 = 2,413.24/x
  3. Step 3: Cross multiply
    7,607.32x = 11,410.38 × 2,413.24
  4. Step 4: Simplify right side
    7,607.32x = 27,535,985.43
  5. Step 5: Solve for x
    x = 27,535,985.43/7,607.32
  6. Step 6: Final answer
    x = 3,619.67

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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.