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Finding the Fourth Proportional to 11,256.64, 16,883.68 and 3,048

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Solution

The fourth proportional to 11,256.64, 16,883.68 and 3,048 is: 4,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256.64 : 16,883.68 = 3,048 : x
  2. Step 2: Convert to fraction form
    11,256.64/16,883.68 = 3,048/x
  3. Step 3: Cross multiply
    11,256.64x = 16,883.68 × 3,048
  4. Step 4: Simplify right side
    11,256.64x = 51,461,456.64
  5. Step 5: Solve for x
    x = 51,461,456.64/11,256.64
  6. Step 6: Final answer
    x = 4,571.65

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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.