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Finding the Fourth Proportional to 8,564.16, 12,844.90 and 2,720

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Solution

The fourth proportional to 8,564.16, 12,844.90 and 2,720 is: 4,079.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.16 : 12,844.90 = 2,720 : x
  2. Step 2: Convert to fraction form
    8,564.16/12,844.90 = 2,720/x
  3. Step 3: Cross multiply
    8,564.16x = 12,844.90 × 2,720
  4. Step 4: Simplify right side
    8,564.16x = 34,938,128
  5. Step 5: Solve for x
    x = 34,938,128/8,564.16
  6. Step 6: Final answer
    x = 4,079.57

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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.