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Finding the Fourth Proportional to 7,772.48, 11,652.56 and 4,074

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Solution

The fourth proportional to 7,772.48, 11,652.56 and 4,074 is: 6,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.48 : 11,652.56 = 4,074 : x
  2. Step 2: Convert to fraction form
    7,772.48/11,652.56 = 4,074/x
  3. Step 3: Cross multiply
    7,772.48x = 11,652.56 × 4,074
  4. Step 4: Simplify right side
    7,772.48x = 47,472,529.44
  5. Step 5: Solve for x
    x = 47,472,529.44/7,772.48
  6. Step 6: Final answer
    x = 6,107.77

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Why These Related Problems?

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