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Finding the Fourth Proportional to 8,048.86, 11,107.74 and 4,693.84

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Solution

The fourth proportional to 8,048.86, 11,107.74 and 4,693.84 is: 6,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.86 : 11,107.74 = 4,693.84 : x
  2. Step 2: Convert to fraction form
    8,048.86/11,107.74 = 4,693.84/x
  3. Step 3: Cross multiply
    8,048.86x = 11,107.74 × 4,693.84
  4. Step 4: Simplify right side
    8,048.86x = 52,137,954.32
  5. Step 5: Solve for x
    x = 52,137,954.32/8,048.86
  6. Step 6: Final answer
    x = 6,477.68

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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.