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Finding the Fourth Proportional to 10,667.52, 14,722.32 and 5,953.44

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Solution

The fourth proportional to 10,667.52, 14,722.32 and 5,953.44 is: 8,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.52 : 14,722.32 = 5,953.44 : x
  2. Step 2: Convert to fraction form
    10,667.52/14,722.32 = 5,953.44/x
  3. Step 3: Cross multiply
    10,667.52x = 14,722.32 × 5,953.44
  4. Step 4: Simplify right side
    10,667.52x = 87,648,448.78
  5. Step 5: Solve for x
    x = 87,648,448.78/10,667.52
  6. Step 6: Final answer
    x = 8,216.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.