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Finding the Fourth Proportional to 7,397.46, 11,099.07 and 4,114.26

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Solution

The fourth proportional to 7,397.46, 11,099.07 and 4,114.26 is: 6,172.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,397.46 : 11,099.07 = 4,114.26 : x
  2. Step 2: Convert to fraction form
    7,397.46/11,099.07 = 4,114.26/x
  3. Step 3: Cross multiply
    7,397.46x = 11,099.07 × 4,114.26
  4. Step 4: Simplify right side
    7,397.46x = 45,664,459.74
  5. Step 5: Solve for x
    x = 45,664,459.74/7,397.46
  6. Step 6: Final answer
    x = 6,172.99

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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.