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Finding the Fourth Proportional to 7,946.53, 10,965.83 and 4,361.40

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Solution

The fourth proportional to 7,946.53, 10,965.83 and 4,361.40 is: 6,018.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.53 : 10,965.83 = 4,361.40 : x
  2. Step 2: Convert to fraction form
    7,946.53/10,965.83 = 4,361.40/x
  3. Step 3: Cross multiply
    7,946.53x = 10,965.83 × 4,361.40
  4. Step 4: Simplify right side
    7,946.53x = 47,826,349.16
  5. Step 5: Solve for x
    x = 47,826,349.16/7,946.53
  6. Step 6: Final answer
    x = 6,018.52

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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.