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Finding the Fourth Proportional to 8,028.56, 12,035.64 and 5,098.64

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Solution

The fourth proportional to 8,028.56, 12,035.64 and 5,098.64 is: 7,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028.56 : 12,035.64 = 5,098.64 : x
  2. Step 2: Convert to fraction form
    8,028.56/12,035.64 = 5,098.64/x
  3. Step 3: Cross multiply
    8,028.56x = 12,035.64 × 5,098.64
  4. Step 4: Simplify right side
    8,028.56x = 61,365,395.53
  5. Step 5: Solve for x
    x = 61,365,395.53/8,028.56
  6. Step 6: Final answer
    x = 7,643.39

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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.