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Finding the Fourth Proportional to 7,674.78, 11,490.73 and 4,152.19

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Solution

The fourth proportional to 7,674.78, 11,490.73 and 4,152.19 is: 6,216.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.78 : 11,490.73 = 4,152.19 : x
  2. Step 2: Convert to fraction form
    7,674.78/11,490.73 = 4,152.19/x
  3. Step 3: Cross multiply
    7,674.78x = 11,490.73 × 4,152.19
  4. Step 4: Simplify right side
    7,674.78x = 47,711,694.20
  5. Step 5: Solve for x
    x = 47,711,694.20/7,674.78
  6. Step 6: Final answer
    x = 6,216.69

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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.