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Finding the Fourth Proportional to 7,820.94, 11,728.68 and 4,704.48

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Solution

The fourth proportional to 7,820.94, 11,728.68 and 4,704.48 is: 7,055.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.94 : 11,728.68 = 4,704.48 : x
  2. Step 2: Convert to fraction form
    7,820.94/11,728.68 = 4,704.48/x
  3. Step 3: Cross multiply
    7,820.94x = 11,728.68 × 4,704.48
  4. Step 4: Simplify right side
    7,820.94x = 55,177,340.49
  5. Step 5: Solve for x
    x = 55,177,340.49/7,820.94
  6. Step 6: Final answer
    x = 7,055.08

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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.