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Finding the Fourth Proportional to 7,745.47, 11,618.17 and 1,902.01

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Solution

The fourth proportional to 7,745.47, 11,618.17 and 1,902.01 is: 2,853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.47 : 11,618.17 = 1,902.01 : x
  2. Step 2: Convert to fraction form
    7,745.47/11,618.17 = 1,902.01/x
  3. Step 3: Cross multiply
    7,745.47x = 11,618.17 × 1,902.01
  4. Step 4: Simplify right side
    7,745.47x = 22,097,875.52
  5. Step 5: Solve for x
    x = 22,097,875.52/7,745.47
  6. Step 6: Final answer
    x = 2,853.01

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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.