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Finding the Fourth Proportional to 7,947.87, 10,967.95 and 4,411

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Solution

The fourth proportional to 7,947.87, 10,967.95 and 4,411 is: 6,087.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947.87 : 10,967.95 = 4,411 : x
  2. Step 2: Convert to fraction form
    7,947.87/10,967.95 = 4,411/x
  3. Step 3: Cross multiply
    7,947.87x = 10,967.95 × 4,411
  4. Step 4: Simplify right side
    7,947.87x = 48,379,616.42
  5. Step 5: Solve for x
    x = 48,379,616.42/7,947.87
  6. Step 6: Final answer
    x = 6,087.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.