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Finding the Fourth Proportional to 10,894.42, 16,340.68 and 6,735.07

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Solution

The fourth proportional to 10,894.42, 16,340.68 and 6,735.07 is: 10,102.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.42 : 16,340.68 = 6,735.07 : x
  2. Step 2: Convert to fraction form
    10,894.42/16,340.68 = 6,735.07/x
  3. Step 3: Cross multiply
    10,894.42x = 16,340.68 × 6,735.07
  4. Step 4: Simplify right side
    10,894.42x = 110,055,623.65
  5. Step 5: Solve for x
    x = 110,055,623.65/10,894.42
  6. Step 6: Final answer
    x = 10,102.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.