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Finding the Fourth Proportional to 11,146.64, 16,725.47 and 5,223.95

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Solution

The fourth proportional to 11,146.64, 16,725.47 and 5,223.95 is: 7,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.64 : 16,725.47 = 5,223.95 : x
  2. Step 2: Convert to fraction form
    11,146.64/16,725.47 = 5,223.95/x
  3. Step 3: Cross multiply
    11,146.64x = 16,725.47 × 5,223.95
  4. Step 4: Simplify right side
    11,146.64x = 87,372,909.26
  5. Step 5: Solve for x
    x = 87,372,909.26/11,146.64
  6. Step 6: Final answer
    x = 7,838.50

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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.