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Finding the Fourth Proportional to 11,707.32, 16,166.94 and 7,522.92

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Solution

The fourth proportional to 11,707.32, 16,166.94 and 7,522.92 is: 10,388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.32 : 16,166.94 = 7,522.92 : x
  2. Step 2: Convert to fraction form
    11,707.32/16,166.94 = 7,522.92/x
  3. Step 3: Cross multiply
    11,707.32x = 16,166.94 × 7,522.92
  4. Step 4: Simplify right side
    11,707.32x = 121,622,596.26
  5. Step 5: Solve for x
    x = 121,622,596.26/11,707.32
  6. Step 6: Final answer
    x = 10,388.59

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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.