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Finding the Fourth Proportional to 8,468, 12,683.40 and 4,768.16

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Solution

The fourth proportional to 8,468, 12,683.40 and 4,768.16 is: 7,141.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468 : 12,683.40 = 4,768.16 : x
  2. Step 2: Convert to fraction form
    8,468/12,683.40 = 4,768.16/x
  3. Step 3: Cross multiply
    8,468x = 12,683.40 × 4,768.16
  4. Step 4: Simplify right side
    8,468x = 60,476,480.54
  5. Step 5: Solve for x
    x = 60,476,480.54/8,468
  6. Step 6: Final answer
    x = 7,141.77

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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.