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Finding the Fourth Proportional to 11,742.21, 16,203.91 and 6,706.32

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Solution

The fourth proportional to 11,742.21, 16,203.91 and 6,706.32 is: 9,254.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742.21 : 16,203.91 = 6,706.32 : x
  2. Step 2: Convert to fraction form
    11,742.21/16,203.91 = 6,706.32/x
  3. Step 3: Cross multiply
    11,742.21x = 16,203.91 × 6,706.32
  4. Step 4: Simplify right side
    11,742.21x = 108,668,664.12
  5. Step 5: Solve for x
    x = 108,668,664.12/11,742.21
  6. Step 6: Final answer
    x = 9,254.53

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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.