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Finding the Fourth Proportional to 7,946.02, 10,966 and 4,589.46

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Solution

The fourth proportional to 7,946.02, 10,966 and 4,589.46 is: 6,333.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.02 : 10,966 = 4,589.46 : x
  2. Step 2: Convert to fraction form
    7,946.02/10,966 = 4,589.46/x
  3. Step 3: Cross multiply
    7,946.02x = 10,966 × 4,589.46
  4. Step 4: Simplify right side
    7,946.02x = 50,328,018.36
  5. Step 5: Solve for x
    x = 50,328,018.36/7,946.02
  6. Step 6: Final answer
    x = 6,333.74

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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.