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Finding the Fourth Proportional to 6,413.04, 8,819.04 and 5,138.16

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Solution

The fourth proportional to 6,413.04, 8,819.04 and 5,138.16 is: 7,065.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.04 : 8,819.04 = 5,138.16 : x
  2. Step 2: Convert to fraction form
    6,413.04/8,819.04 = 5,138.16/x
  3. Step 3: Cross multiply
    6,413.04x = 8,819.04 × 5,138.16
  4. Step 4: Simplify right side
    6,413.04x = 45,313,638.57
  5. Step 5: Solve for x
    x = 45,313,638.57/6,413.04
  6. Step 6: Final answer
    x = 7,065.86

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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.