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Finding the Fourth Proportional to 8,119.95, 12,170.69 and 3,437.03

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Solution

The fourth proportional to 8,119.95, 12,170.69 and 3,437.03 is: 5,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.95 : 12,170.69 = 3,437.03 : x
  2. Step 2: Convert to fraction form
    8,119.95/12,170.69 = 3,437.03/x
  3. Step 3: Cross multiply
    8,119.95x = 12,170.69 × 3,437.03
  4. Step 4: Simplify right side
    8,119.95x = 41,831,065.67
  5. Step 5: Solve for x
    x = 41,831,065.67/8,119.95
  6. Step 6: Final answer
    x = 5,151.64

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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.