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Finding the Fourth Proportional to 12,083.87, 18,125.53 and 7,117.75

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Solution

The fourth proportional to 12,083.87, 18,125.53 and 7,117.75 is: 10,676.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.87 : 18,125.53 = 7,117.75 : x
  2. Step 2: Convert to fraction form
    12,083.87/18,125.53 = 7,117.75/x
  3. Step 3: Cross multiply
    12,083.87x = 18,125.53 × 7,117.75
  4. Step 4: Simplify right side
    12,083.87x = 129,012,914.08
  5. Step 5: Solve for x
    x = 129,012,914.08/12,083.87
  6. Step 6: Final answer
    x = 10,676.46

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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.