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Finding the Fourth Proportional to 10,639.49, 14,683.02 and 5,923.67

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Solution

The fourth proportional to 10,639.49, 14,683.02 and 5,923.67 is: 8,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,639.49 : 14,683.02 = 5,923.67 : x
  2. Step 2: Convert to fraction form
    10,639.49/14,683.02 = 5,923.67/x
  3. Step 3: Cross multiply
    10,639.49x = 14,683.02 × 5,923.67
  4. Step 4: Simplify right side
    10,639.49x = 86,977,365.08
  5. Step 5: Solve for x
    x = 86,977,365.08/10,639.49
  6. Step 6: Final answer
    x = 8,174.96

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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.