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Finding the Fourth Proportional to 10,099.69, 15,148.32 and 2,704.93

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Solution

The fourth proportional to 10,099.69, 15,148.32 and 2,704.93 is: 4,057.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.69 : 15,148.32 = 2,704.93 : x
  2. Step 2: Convert to fraction form
    10,099.69/15,148.32 = 2,704.93/x
  3. Step 3: Cross multiply
    10,099.69x = 15,148.32 × 2,704.93
  4. Step 4: Simplify right side
    10,099.69x = 40,975,145.22
  5. Step 5: Solve for x
    x = 40,975,145.22/10,099.69
  6. Step 6: Final answer
    x = 4,057.07

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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.