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Finding the Fourth Proportional to 11,706.21, 16,154.33 and 6,401.03

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Solution

The fourth proportional to 11,706.21, 16,154.33 and 6,401.03 is: 8,833.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.21 : 16,154.33 = 6,401.03 : x
  2. Step 2: Convert to fraction form
    11,706.21/16,154.33 = 6,401.03/x
  3. Step 3: Cross multiply
    11,706.21x = 16,154.33 × 6,401.03
  4. Step 4: Simplify right side
    11,706.21x = 103,404,256.19
  5. Step 5: Solve for x
    x = 103,404,256.19/11,706.21
  6. Step 6: Final answer
    x = 8,833.28

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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.