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Finding the Fourth Proportional to 35,860, 53,798.64 and 11,236

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Solution

The fourth proportional to 35,860, 53,798.64 and 11,236 is: 16,856.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,860 : 53,798.64 = 11,236 : x
  2. Step 2: Convert to fraction form
    35,860/53,798.64 = 11,236/x
  3. Step 3: Cross multiply
    35,860x = 53,798.64 × 11,236
  4. Step 4: Simplify right side
    35,860x = 604,481,519.04
  5. Step 5: Solve for x
    x = 604,481,519.04/35,860
  6. Step 6: Final answer
    x = 16,856.71

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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.