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Finding the Fourth Proportional to 11,340.64, 17,008.22 and 4,320.36

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Solution

The fourth proportional to 11,340.64, 17,008.22 and 4,320.36 is: 6,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.64 : 17,008.22 = 4,320.36 : x
  2. Step 2: Convert to fraction form
    11,340.64/17,008.22 = 4,320.36/x
  3. Step 3: Cross multiply
    11,340.64x = 17,008.22 × 4,320.36
  4. Step 4: Simplify right side
    11,340.64x = 73,481,633.36
  5. Step 5: Solve for x
    x = 73,481,633.36/11,340.64
  6. Step 6: Final answer
    x = 6,479.50

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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.