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Finding the Fourth Proportional to 11,309.42, 16,960.98 and 7,143.32

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Solution

The fourth proportional to 11,309.42, 16,960.98 and 7,143.32 is: 10,712.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.42 : 16,960.98 = 7,143.32 : x
  2. Step 2: Convert to fraction form
    11,309.42/16,960.98 = 7,143.32/x
  3. Step 3: Cross multiply
    11,309.42x = 16,960.98 × 7,143.32
  4. Step 4: Simplify right side
    11,309.42x = 121,157,707.65
  5. Step 5: Solve for x
    x = 121,157,707.65/11,309.42
  6. Step 6: Final answer
    x = 10,712.99

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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.