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Finding the Fourth Proportional to 4,668.24, 6,989.94 and 4,114.68

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Solution

The fourth proportional to 4,668.24, 6,989.94 and 4,114.68 is: 6,161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.24 : 6,989.94 = 4,114.68 : x
  2. Step 2: Convert to fraction form
    4,668.24/6,989.94 = 4,114.68/x
  3. Step 3: Cross multiply
    4,668.24x = 6,989.94 × 4,114.68
  4. Step 4: Simplify right side
    4,668.24x = 28,761,366.32
  5. Step 5: Solve for x
    x = 28,761,366.32/4,668.24
  6. Step 6: Final answer
    x = 6,161.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.