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Finding the Fourth Proportional to 7,413.54, 11,107.68 and 6,478.80

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Solution

The fourth proportional to 7,413.54, 11,107.68 and 6,478.80 is: 9,707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.54 : 11,107.68 = 6,478.80 : x
  2. Step 2: Convert to fraction form
    7,413.54/11,107.68 = 6,478.80/x
  3. Step 3: Cross multiply
    7,413.54x = 11,107.68 × 6,478.80
  4. Step 4: Simplify right side
    7,413.54x = 71,964,437.18
  5. Step 5: Solve for x
    x = 71,964,437.18/7,413.54
  6. Step 6: Final answer
    x = 9,707.16

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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.