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Finding the Fourth Proportional to 8,098.51, 12,145.43 and 3,419.57

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Solution

The fourth proportional to 8,098.51, 12,145.43 and 3,419.57 is: 5,128.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.51 : 12,145.43 = 3,419.57 : x
  2. Step 2: Convert to fraction form
    8,098.51/12,145.43 = 3,419.57/x
  3. Step 3: Cross multiply
    8,098.51x = 12,145.43 × 3,419.57
  4. Step 4: Simplify right side
    8,098.51x = 41,532,130.97
  5. Step 5: Solve for x
    x = 41,532,130.97/8,098.51
  6. Step 6: Final answer
    x = 5,128.37

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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.