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Finding the Fourth Proportional to 12,712.75, 17,537.68 and 8,237.94

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Solution

The fourth proportional to 12,712.75, 17,537.68 and 8,237.94 is: 11,364.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.75 : 17,537.68 = 8,237.94 : x
  2. Step 2: Convert to fraction form
    12,712.75/17,537.68 = 8,237.94/x
  3. Step 3: Cross multiply
    12,712.75x = 17,537.68 × 8,237.94
  4. Step 4: Simplify right side
    12,712.75x = 144,474,300.11
  5. Step 5: Solve for x
    x = 144,474,300.11/12,712.75
  6. Step 6: Final answer
    x = 11,364.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.