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Finding the Fourth Proportional to 6,877.84, 10,333.64 and 4,413.68

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Solution

The fourth proportional to 6,877.84, 10,333.64 and 4,413.68 is: 6,631.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.84 : 10,333.64 = 4,413.68 : x
  2. Step 2: Convert to fraction form
    6,877.84/10,333.64 = 4,413.68/x
  3. Step 3: Cross multiply
    6,877.84x = 10,333.64 × 4,413.68
  4. Step 4: Simplify right side
    6,877.84x = 45,609,380.20
  5. Step 5: Solve for x
    x = 45,609,380.20/6,877.84
  6. Step 6: Final answer
    x = 6,631.35

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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.