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Finding the Fourth Proportional to 11,840.87, 16,341.69 and 6,805.31

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Solution

The fourth proportional to 11,840.87, 16,341.69 and 6,805.31 is: 9,392.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.87 : 16,341.69 = 6,805.31 : x
  2. Step 2: Convert to fraction form
    11,840.87/16,341.69 = 6,805.31/x
  3. Step 3: Cross multiply
    11,840.87x = 16,341.69 × 6,805.31
  4. Step 4: Simplify right side
    11,840.87x = 111,210,184.67
  5. Step 5: Solve for x
    x = 111,210,184.67/11,840.87
  6. Step 6: Final answer
    x = 9,392.07

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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.