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Finding the Fourth Proportional to 8,351.19, 12,513.54 and 6,783.57

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Solution

The fourth proportional to 8,351.19, 12,513.54 and 6,783.57 is: 10,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351.19 : 12,513.54 = 6,783.57 : x
  2. Step 2: Convert to fraction form
    8,351.19/12,513.54 = 6,783.57/x
  3. Step 3: Cross multiply
    8,351.19x = 12,513.54 × 6,783.57
  4. Step 4: Simplify right side
    8,351.19x = 84,886,474.54
  5. Step 5: Solve for x
    x = 84,886,474.54/8,351.19
  6. Step 6: Final answer
    x = 10,164.60

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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.