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Finding the Fourth Proportional to 7,821.54, 11,704.26 and 6,271.50

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Solution

The fourth proportional to 7,821.54, 11,704.26 and 6,271.50 is: 9,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.54 : 11,704.26 = 6,271.50 : x
  2. Step 2: Convert to fraction form
    7,821.54/11,704.26 = 6,271.50/x
  3. Step 3: Cross multiply
    7,821.54x = 11,704.26 × 6,271.50
  4. Step 4: Simplify right side
    7,821.54x = 73,403,266.59
  5. Step 5: Solve for x
    x = 73,403,266.59/7,821.54
  6. Step 6: Final answer
    x = 9,384.76

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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.