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Finding the Fourth Proportional to 10,683.56, 14,744.10 and 6,147.62

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Solution

The fourth proportional to 10,683.56, 14,744.10 and 6,147.62 is: 8,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.56 : 14,744.10 = 6,147.62 : x
  2. Step 2: Convert to fraction form
    10,683.56/14,744.10 = 6,147.62/x
  3. Step 3: Cross multiply
    10,683.56x = 14,744.10 × 6,147.62
  4. Step 4: Simplify right side
    10,683.56x = 90,641,124.04
  5. Step 5: Solve for x
    x = 90,641,124.04/10,683.56
  6. Step 6: Final answer
    x = 8,484.17

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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.