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Finding the Fourth Proportional to 8,564.64, 12,816.57 and 5,044.38

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Solution

The fourth proportional to 8,564.64, 12,816.57 and 5,044.38 is: 7,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.64 : 12,816.57 = 5,044.38 : x
  2. Step 2: Convert to fraction form
    8,564.64/12,816.57 = 5,044.38/x
  3. Step 3: Cross multiply
    8,564.64x = 12,816.57 × 5,044.38
  4. Step 4: Simplify right side
    8,564.64x = 64,651,649.38
  5. Step 5: Solve for x
    x = 64,651,649.38/8,564.64
  6. Step 6: Final answer
    x = 7,548.67

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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.