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Finding the Fourth Proportional to 7,146.46, 10,668.50 and 6,212.54

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Solution

The fourth proportional to 7,146.46, 10,668.50 and 6,212.54 is: 9,274.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.46 : 10,668.50 = 6,212.54 : x
  2. Step 2: Convert to fraction form
    7,146.46/10,668.50 = 6,212.54/x
  3. Step 3: Cross multiply
    7,146.46x = 10,668.50 × 6,212.54
  4. Step 4: Simplify right side
    7,146.46x = 66,278,482.99
  5. Step 5: Solve for x
    x = 66,278,482.99/7,146.46
  6. Step 6: Final answer
    x = 9,274.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.