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Finding the Fourth Proportional to 12,089.50, 16,683.57 and 7,057.21

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Solution

The fourth proportional to 12,089.50, 16,683.57 and 7,057.21 is: 9,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.50 : 16,683.57 = 7,057.21 : x
  2. Step 2: Convert to fraction form
    12,089.50/16,683.57 = 7,057.21/x
  3. Step 3: Cross multiply
    12,089.50x = 16,683.57 × 7,057.21
  4. Step 4: Simplify right side
    12,089.50x = 117,739,457.04
  5. Step 5: Solve for x
    x = 117,739,457.04/12,089.50
  6. Step 6: Final answer
    x = 9,738.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.