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Finding the Fourth Proportional to 6,950.86, 10,419 and 5,099.20

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Solution

The fourth proportional to 6,950.86, 10,419 and 5,099.20 is: 7,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.86 : 10,419 = 5,099.20 : x
  2. Step 2: Convert to fraction form
    6,950.86/10,419 = 5,099.20/x
  3. Step 3: Cross multiply
    6,950.86x = 10,419 × 5,099.20
  4. Step 4: Simplify right side
    6,950.86x = 53,128,564.80
  5. Step 5: Solve for x
    x = 53,128,564.80/6,950.86
  6. Step 6: Final answer
    x = 7,643.45

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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.