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Finding the Fourth Proportional to 7,099.95, 10,651.41 and 2,419.59

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Solution

The fourth proportional to 7,099.95, 10,651.41 and 2,419.59 is: 3,629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.95 : 10,651.41 = 2,419.59 : x
  2. Step 2: Convert to fraction form
    7,099.95/10,651.41 = 2,419.59/x
  3. Step 3: Cross multiply
    7,099.95x = 10,651.41 × 2,419.59
  4. Step 4: Simplify right side
    7,099.95x = 25,772,045.12
  5. Step 5: Solve for x
    x = 25,772,045.12/7,099.95
  6. Step 6: Final answer
    x = 3,629.89

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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.