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Finding the Fourth Proportional to 11,437.89, 17,156.84 and 3,646.50

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Solution

The fourth proportional to 11,437.89, 17,156.84 and 3,646.50 is: 5,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.89 : 17,156.84 = 3,646.50 : x
  2. Step 2: Convert to fraction form
    11,437.89/17,156.84 = 3,646.50/x
  3. Step 3: Cross multiply
    11,437.89x = 17,156.84 × 3,646.50
  4. Step 4: Simplify right side
    11,437.89x = 62,562,398.83
  5. Step 5: Solve for x
    x = 62,562,398.83/11,437.89
  6. Step 6: Final answer
    x = 5,469.75

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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.