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Finding the Fourth Proportional to 7,654.14, 11,485.53 and 3,271.26

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Solution

The fourth proportional to 7,654.14, 11,485.53 and 3,271.26 is: 4,908.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.14 : 11,485.53 = 3,271.26 : x
  2. Step 2: Convert to fraction form
    7,654.14/11,485.53 = 3,271.26/x
  3. Step 3: Cross multiply
    7,654.14x = 11,485.53 × 3,271.26
  4. Step 4: Simplify right side
    7,654.14x = 37,572,154.87
  5. Step 5: Solve for x
    x = 37,572,154.87/7,654.14
  6. Step 6: Final answer
    x = 4,908.74

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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.