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Finding the Fourth Proportional to 12,052.14, 18,058.05 and 7,886.94

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Solution

The fourth proportional to 12,052.14, 18,058.05 and 7,886.94 is: 11,817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,052.14 : 18,058.05 = 7,886.94 : x
  2. Step 2: Convert to fraction form
    12,052.14/18,058.05 = 7,886.94/x
  3. Step 3: Cross multiply
    12,052.14x = 18,058.05 × 7,886.94
  4. Step 4: Simplify right side
    12,052.14x = 142,422,756.87
  5. Step 5: Solve for x
    x = 142,422,756.87/12,052.14
  6. Step 6: Final answer
    x = 11,817.22

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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.