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Finding the Fourth Proportional to 11,809.65, 16,298.06 and 6,504.47

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Solution

The fourth proportional to 11,809.65, 16,298.06 and 6,504.47 is: 8,976.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.65 : 16,298.06 = 6,504.47 : x
  2. Step 2: Convert to fraction form
    11,809.65/16,298.06 = 6,504.47/x
  3. Step 3: Cross multiply
    11,809.65x = 16,298.06 × 6,504.47
  4. Step 4: Simplify right side
    11,809.65x = 106,010,242.33
  5. Step 5: Solve for x
    x = 106,010,242.33/11,809.65
  6. Step 6: Final answer
    x = 8,976.58

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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.