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Finding the Fourth Proportional to 7,771.01, 11,654.08 and 3,384.05

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Solution

The fourth proportional to 7,771.01, 11,654.08 and 3,384.05 is: 5,075.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.01 : 11,654.08 = 3,384.05 : x
  2. Step 2: Convert to fraction form
    7,771.01/11,654.08 = 3,384.05/x
  3. Step 3: Cross multiply
    7,771.01x = 11,654.08 × 3,384.05
  4. Step 4: Simplify right side
    7,771.01x = 39,437,922.69
  5. Step 5: Solve for x
    x = 39,437,922.69/7,771.01
  6. Step 6: Final answer
    x = 5,075.01

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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.