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Finding the Fourth Proportional to 10,413.61, 15,615.69 and 6,464.71

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Solution

The fourth proportional to 10,413.61, 15,615.69 and 6,464.71 is: 9,694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.61 : 15,615.69 = 6,464.71 : x
  2. Step 2: Convert to fraction form
    10,413.61/15,615.69 = 6,464.71/x
  3. Step 3: Cross multiply
    10,413.61x = 15,615.69 × 6,464.71
  4. Step 4: Simplify right side
    10,413.61x = 100,950,902.58
  5. Step 5: Solve for x
    x = 100,950,902.58/10,413.61
  6. Step 6: Final answer
    x = 9,694.13

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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.