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Finding the Fourth Proportional to 6,941.64, 10,413.16 and 2,558.08

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Solution

The fourth proportional to 6,941.64, 10,413.16 and 2,558.08 is: 3,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.64 : 10,413.16 = 2,558.08 : x
  2. Step 2: Convert to fraction form
    6,941.64/10,413.16 = 2,558.08/x
  3. Step 3: Cross multiply
    6,941.64x = 10,413.16 × 2,558.08
  4. Step 4: Simplify right side
    6,941.64x = 26,637,696.33
  5. Step 5: Solve for x
    x = 26,637,696.33/6,941.64
  6. Step 6: Final answer
    x = 3,837.38

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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.