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Finding the Fourth Proportional to 8,646.54, 11,930.32 and 5,107.92

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Solution

The fourth proportional to 8,646.54, 11,930.32 and 5,107.92 is: 7,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.54 : 11,930.32 = 5,107.92 : x
  2. Step 2: Convert to fraction form
    8,646.54/11,930.32 = 5,107.92/x
  3. Step 3: Cross multiply
    8,646.54x = 11,930.32 × 5,107.92
  4. Step 4: Simplify right side
    8,646.54x = 60,939,120.13
  5. Step 5: Solve for x
    x = 60,939,120.13/8,646.54
  6. Step 6: Final answer
    x = 7,047.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.