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Finding the Fourth Proportional to 8,284.36, 12,426.36 and 4,819

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Solution

The fourth proportional to 8,284.36, 12,426.36 and 4,819 is: 7,228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.36 : 12,426.36 = 4,819 : x
  2. Step 2: Convert to fraction form
    8,284.36/12,426.36 = 4,819/x
  3. Step 3: Cross multiply
    8,284.36x = 12,426.36 × 4,819
  4. Step 4: Simplify right side
    8,284.36x = 59,882,628.84
  5. Step 5: Solve for x
    x = 59,882,628.84/8,284.36
  6. Step 6: Final answer
    x = 7,228.40

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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.