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Finding the Fourth Proportional to 7,820.82, 11,732.22 and 3,603.06

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Solution

The fourth proportional to 7,820.82, 11,732.22 and 3,603.06 is: 5,405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.82 : 11,732.22 = 3,603.06 : x
  2. Step 2: Convert to fraction form
    7,820.82/11,732.22 = 3,603.06/x
  3. Step 3: Cross multiply
    7,820.82x = 11,732.22 × 3,603.06
  4. Step 4: Simplify right side
    7,820.82x = 42,271,892.59
  5. Step 5: Solve for x
    x = 42,271,892.59/7,820.82
  6. Step 6: Final answer
    x = 5,405.05

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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.