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Finding the Fourth Proportional to 7,099.65, 10,649.48 and 3,814.29

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Solution

The fourth proportional to 7,099.65, 10,649.48 and 3,814.29 is: 5,721.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.65 : 10,649.48 = 3,814.29 : x
  2. Step 2: Convert to fraction form
    7,099.65/10,649.48 = 3,814.29/x
  3. Step 3: Cross multiply
    7,099.65x = 10,649.48 × 3,814.29
  4. Step 4: Simplify right side
    7,099.65x = 40,620,186.00
  5. Step 5: Solve for x
    x = 40,620,186.00/7,099.65
  6. Step 6: Final answer
    x = 5,721.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.