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Finding the Fourth Proportional to 7,877.51, 11,817.88 and 5,413.49

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Solution

The fourth proportional to 7,877.51, 11,817.88 and 5,413.49 is: 8,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.51 : 11,817.88 = 5,413.49 : x
  2. Step 2: Convert to fraction form
    7,877.51/11,817.88 = 5,413.49/x
  3. Step 3: Cross multiply
    7,877.51x = 11,817.88 × 5,413.49
  4. Step 4: Simplify right side
    7,877.51x = 63,975,916.11
  5. Step 5: Solve for x
    x = 63,975,916.11/7,877.51
  6. Step 6: Final answer
    x = 8,121.34

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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.