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Finding the Fourth Proportional to 8,564.40, 12,859.80 and 4,676.40

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Solution

The fourth proportional to 8,564.40, 12,859.80 and 4,676.40 is: 7,021.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.40 : 12,859.80 = 4,676.40 : x
  2. Step 2: Convert to fraction form
    8,564.40/12,859.80 = 4,676.40/x
  3. Step 3: Cross multiply
    8,564.40x = 12,859.80 × 4,676.40
  4. Step 4: Simplify right side
    8,564.40x = 60,137,568.72
  5. Step 5: Solve for x
    x = 60,137,568.72/8,564.40
  6. Step 6: Final answer
    x = 7,021.81

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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.