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Finding the Fourth Proportional to 8,646.86, 12,940.97 and 5,317.20

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Solution

The fourth proportional to 8,646.86, 12,940.97 and 5,317.20 is: 7,957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.86 : 12,940.97 = 5,317.20 : x
  2. Step 2: Convert to fraction form
    8,646.86/12,940.97 = 5,317.20/x
  3. Step 3: Cross multiply
    8,646.86x = 12,940.97 × 5,317.20
  4. Step 4: Simplify right side
    8,646.86x = 68,809,750.23
  5. Step 5: Solve for x
    x = 68,809,750.23/8,646.86
  6. Step 6: Final answer
    x = 7,957.77

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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.