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Finding the Fourth Proportional to 8,466.51, 11,683.62 and 4,689.66

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Solution

The fourth proportional to 8,466.51, 11,683.62 and 4,689.66 is: 6,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.51 : 11,683.62 = 4,689.66 : x
  2. Step 2: Convert to fraction form
    8,466.51/11,683.62 = 4,689.66/x
  3. Step 3: Cross multiply
    8,466.51x = 11,683.62 × 4,689.66
  4. Step 4: Simplify right side
    8,466.51x = 54,792,205.37
  5. Step 5: Solve for x
    x = 54,792,205.37/8,466.51
  6. Step 6: Final answer
    x = 6,471.64

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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.