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Finding the Fourth Proportional to 8,564.80, 12,866.40 and 8,334.40

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Solution

The fourth proportional to 8,564.80, 12,866.40 and 8,334.40 is: 12,520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.80 : 12,866.40 = 8,334.40 : x
  2. Step 2: Convert to fraction form
    8,564.80/12,866.40 = 8,334.40/x
  3. Step 3: Cross multiply
    8,564.80x = 12,866.40 × 8,334.40
  4. Step 4: Simplify right side
    8,564.80x = 107,233,724.16
  5. Step 5: Solve for x
    x = 107,233,724.16/8,564.80
  6. Step 6: Final answer
    x = 12,520.28

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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.