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Finding the Fourth Proportional to 7,946.90, 10,967.24 and 4,589.86

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Solution

The fourth proportional to 7,946.90, 10,967.24 and 4,589.86 is: 6,334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.90 : 10,967.24 = 4,589.86 : x
  2. Step 2: Convert to fraction form
    7,946.90/10,967.24 = 4,589.86/x
  3. Step 3: Cross multiply
    7,946.90x = 10,967.24 × 4,589.86
  4. Step 4: Simplify right side
    7,946.90x = 50,338,096.19
  5. Step 5: Solve for x
    x = 50,338,096.19/7,946.90
  6. Step 6: Final answer
    x = 6,334.31

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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.