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Finding the Fourth Proportional to 10,953, 16,429.25 and 3,557.45

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Solution

The fourth proportional to 10,953, 16,429.25 and 3,557.45 is: 5,336.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953 : 16,429.25 = 3,557.45 : x
  2. Step 2: Convert to fraction form
    10,953/16,429.25 = 3,557.45/x
  3. Step 3: Cross multiply
    10,953x = 16,429.25 × 3,557.45
  4. Step 4: Simplify right side
    10,953x = 58,446,135.48
  5. Step 5: Solve for x
    x = 58,446,135.48/10,953
  6. Step 6: Final answer
    x = 5,336.08

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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.