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Finding the Fourth Proportional to 8,284.53, 12,419.44 and 3,018.56

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Solution

The fourth proportional to 8,284.53, 12,419.44 and 3,018.56 is: 4,525.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.53 : 12,419.44 = 3,018.56 : x
  2. Step 2: Convert to fraction form
    8,284.53/12,419.44 = 3,018.56/x
  3. Step 3: Cross multiply
    8,284.53x = 12,419.44 × 3,018.56
  4. Step 4: Simplify right side
    8,284.53x = 37,488,762.71
  5. Step 5: Solve for x
    x = 37,488,762.71/8,284.53
  6. Step 6: Final answer
    x = 4,525.16

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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.