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Finding the Fourth Proportional to 10,008.50, 13,812.80 and 5,759.74

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Solution

The fourth proportional to 10,008.50, 13,812.80 and 5,759.74 is: 7,949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.50 : 13,812.80 = 5,759.74 : x
  2. Step 2: Convert to fraction form
    10,008.50/13,812.80 = 5,759.74/x
  3. Step 3: Cross multiply
    10,008.50x = 13,812.80 × 5,759.74
  4. Step 4: Simplify right side
    10,008.50x = 79,558,136.67
  5. Step 5: Solve for x
    x = 79,558,136.67/10,008.50
  6. Step 6: Final answer
    x = 7,949.06

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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.