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Finding the Fourth Proportional to 7,946.14, 10,965.75 and 4,361.20

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Solution

The fourth proportional to 7,946.14, 10,965.75 and 4,361.20 is: 6,018.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.14 : 10,965.75 = 4,361.20 : x
  2. Step 2: Convert to fraction form
    7,946.14/10,965.75 = 4,361.20/x
  3. Step 3: Cross multiply
    7,946.14x = 10,965.75 × 4,361.20
  4. Step 4: Simplify right side
    7,946.14x = 47,823,828.90
  5. Step 5: Solve for x
    x = 47,823,828.90/7,946.14
  6. Step 6: Final answer
    x = 6,018.50

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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.