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Finding the Fourth Proportional to 8,153.64, 12,232.32 and 2,959.51

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Solution

The fourth proportional to 8,153.64, 12,232.32 and 2,959.51 is: 4,439.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.64 : 12,232.32 = 2,959.51 : x
  2. Step 2: Convert to fraction form
    8,153.64/12,232.32 = 2,959.51/x
  3. Step 3: Cross multiply
    8,153.64x = 12,232.32 × 2,959.51
  4. Step 4: Simplify right side
    8,153.64x = 36,201,673.36
  5. Step 5: Solve for x
    x = 36,201,673.36/8,153.64
  6. Step 6: Final answer
    x = 4,439.94

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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.