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Finding the Fourth Proportional to 10,396.67, 15,603.80 and 4,161.06

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Solution

The fourth proportional to 10,396.67, 15,603.80 and 4,161.06 is: 6,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.67 : 15,603.80 = 4,161.06 : x
  2. Step 2: Convert to fraction form
    10,396.67/15,603.80 = 4,161.06/x
  3. Step 3: Cross multiply
    10,396.67x = 15,603.80 × 4,161.06
  4. Step 4: Simplify right side
    10,396.67x = 64,928,327.22
  5. Step 5: Solve for x
    x = 64,928,327.22/10,396.67
  6. Step 6: Final answer
    x = 6,245.11

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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.