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Finding the Fourth Proportional to 10,180.29, 14,048.00 and 5,703.03

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Solution

The fourth proportional to 10,180.29, 14,048.00 and 5,703.03 is: 7,869.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180.29 : 14,048.00 = 5,703.03 : x
  2. Step 2: Convert to fraction form
    10,180.29/14,048.00 = 5,703.03/x
  3. Step 3: Cross multiply
    10,180.29x = 14,048.00 × 5,703.03
  4. Step 4: Simplify right side
    10,180.29x = 80,116,136.92
  5. Step 5: Solve for x
    x = 80,116,136.92/10,180.29
  6. Step 6: Final answer
    x = 7,869.73

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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.