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Finding the Fourth Proportional to 12,833, 19,257.18 and 5,537

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Solution

The fourth proportional to 12,833, 19,257.18 and 5,537 is: 8,308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833 : 19,257.18 = 5,537 : x
  2. Step 2: Convert to fraction form
    12,833/19,257.18 = 5,537/x
  3. Step 3: Cross multiply
    12,833x = 19,257.18 × 5,537
  4. Step 4: Simplify right side
    12,833x = 106,627,005.66
  5. Step 5: Solve for x
    x = 106,627,005.66/12,833
  6. Step 6: Final answer
    x = 8,308.81

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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.