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Finding the Fourth Proportional to 8,243, 12,364.56 and 2,087

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Solution

The fourth proportional to 8,243, 12,364.56 and 2,087 is: 3,130.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243 : 12,364.56 = 2,087 : x
  2. Step 2: Convert to fraction form
    8,243/12,364.56 = 2,087/x
  3. Step 3: Cross multiply
    8,243x = 12,364.56 × 2,087
  4. Step 4: Simplify right side
    8,243x = 25,804,836.72
  5. Step 5: Solve for x
    x = 25,804,836.72/8,243
  6. Step 6: Final answer
    x = 3,130.52

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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.