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Finding the Fourth Proportional to 11,698.65, 16,144.08 and 6,920.31

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Solution

The fourth proportional to 11,698.65, 16,144.08 and 6,920.31 is: 9,549.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.65 : 16,144.08 = 6,920.31 : x
  2. Step 2: Convert to fraction form
    11,698.65/16,144.08 = 6,920.31/x
  3. Step 3: Cross multiply
    11,698.65x = 16,144.08 × 6,920.31
  4. Step 4: Simplify right side
    11,698.65x = 111,722,038.26
  5. Step 5: Solve for x
    x = 111,722,038.26/11,698.65
  6. Step 6: Final answer
    x = 9,549.99

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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.