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Finding the Fourth Proportional to 12,487.71, 18,715.41 and 5,083.50

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Solution

The fourth proportional to 12,487.71, 18,715.41 and 5,083.50 is: 7,618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,487.71 : 18,715.41 = 5,083.50 : x
  2. Step 2: Convert to fraction form
    12,487.71/18,715.41 = 5,083.50/x
  3. Step 3: Cross multiply
    12,487.71x = 18,715.41 × 5,083.50
  4. Step 4: Simplify right side
    12,487.71x = 95,139,786.74
  5. Step 5: Solve for x
    x = 95,139,786.74/12,487.71
  6. Step 6: Final answer
    x = 7,618.67

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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.