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Finding the Fourth Proportional to 8,537.16, 12,805.50 and 3,605.46

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Solution

The fourth proportional to 8,537.16, 12,805.50 and 3,605.46 is: 5,408.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.16 : 12,805.50 = 3,605.46 : x
  2. Step 2: Convert to fraction form
    8,537.16/12,805.50 = 3,605.46/x
  3. Step 3: Cross multiply
    8,537.16x = 12,805.50 × 3,605.46
  4. Step 4: Simplify right side
    8,537.16x = 46,169,718.03
  5. Step 5: Solve for x
    x = 46,169,718.03/8,537.16
  6. Step 6: Final answer
    x = 5,408.09

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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.