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Finding the Fourth Proportional to 8,537.40, 12,805.38 and 4,827.96

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Solution

The fourth proportional to 8,537.40, 12,805.38 and 4,827.96 is: 7,241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.40 : 12,805.38 = 4,827.96 : x
  2. Step 2: Convert to fraction form
    8,537.40/12,805.38 = 4,827.96/x
  3. Step 3: Cross multiply
    8,537.40x = 12,805.38 × 4,827.96
  4. Step 4: Simplify right side
    8,537.40x = 61,823,862.42
  5. Step 5: Solve for x
    x = 61,823,862.42/8,537.40
  6. Step 6: Final answer
    x = 7,241.53

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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.