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Finding the Fourth Proportional to 7,830.68, 11,738.06 and 4,911.02

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Solution

The fourth proportional to 7,830.68, 11,738.06 and 4,911.02 is: 7,361.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.68 : 11,738.06 = 4,911.02 : x
  2. Step 2: Convert to fraction form
    7,830.68/11,738.06 = 4,911.02/x
  3. Step 3: Cross multiply
    7,830.68x = 11,738.06 × 4,911.02
  4. Step 4: Simplify right side
    7,830.68x = 57,645,847.42
  5. Step 5: Solve for x
    x = 57,645,847.42/7,830.68
  6. Step 6: Final answer
    x = 7,361.54

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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.