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Finding the Fourth Proportional to 8,455.80, 12,683.70 and 8,261.40

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Solution

The fourth proportional to 8,455.80, 12,683.70 and 8,261.40 is: 12,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,455.80 : 12,683.70 = 8,261.40 : x
  2. Step 2: Convert to fraction form
    8,455.80/12,683.70 = 8,261.40/x
  3. Step 3: Cross multiply
    8,455.80x = 12,683.70 × 8,261.40
  4. Step 4: Simplify right side
    8,455.80x = 104,785,119.18
  5. Step 5: Solve for x
    x = 104,785,119.18/8,455.80
  6. Step 6: Final answer
    x = 12,392.10

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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.