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Finding the Fourth Proportional to 7,863.12, 10,846.60 and 4,914

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Solution

The fourth proportional to 7,863.12, 10,846.60 and 4,914 is: 6,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.12 : 10,846.60 = 4,914 : x
  2. Step 2: Convert to fraction form
    7,863.12/10,846.60 = 4,914/x
  3. Step 3: Cross multiply
    7,863.12x = 10,846.60 × 4,914
  4. Step 4: Simplify right side
    7,863.12x = 53,300,192.40
  5. Step 5: Solve for x
    x = 53,300,192.40/7,863.12
  6. Step 6: Final answer
    x = 6,778.50

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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.