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Finding the Fourth Proportional to 11,706.41, 16,153.23 and 6,669.66

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Solution

The fourth proportional to 11,706.41, 16,153.23 and 6,669.66 is: 9,203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.41 : 16,153.23 = 6,669.66 : x
  2. Step 2: Convert to fraction form
    11,706.41/16,153.23 = 6,669.66/x
  3. Step 3: Cross multiply
    11,706.41x = 16,153.23 × 6,669.66
  4. Step 4: Simplify right side
    11,706.41x = 107,736,552.00
  5. Step 5: Solve for x
    x = 107,736,552.00/11,706.41
  6. Step 6: Final answer
    x = 9,203.21

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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.