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Finding the Fourth Proportional to 8,460.97, 12,688.98 and 2,537.62

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Solution

The fourth proportional to 8,460.97, 12,688.98 and 2,537.62 is: 3,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.97 : 12,688.98 = 2,537.62 : x
  2. Step 2: Convert to fraction form
    8,460.97/12,688.98 = 2,537.62/x
  3. Step 3: Cross multiply
    8,460.97x = 12,688.98 × 2,537.62
  4. Step 4: Simplify right side
    8,460.97x = 32,199,745.98
  5. Step 5: Solve for x
    x = 32,199,745.98/8,460.97
  6. Step 6: Final answer
    x = 3,805.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.