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Finding the Fourth Proportional to 8,461.74, 11,677.36 and 4,684.95

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Solution

The fourth proportional to 8,461.74, 11,677.36 and 4,684.95 is: 6,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.74 : 11,677.36 = 4,684.95 : x
  2. Step 2: Convert to fraction form
    8,461.74/11,677.36 = 4,684.95/x
  3. Step 3: Cross multiply
    8,461.74x = 11,677.36 × 4,684.95
  4. Step 4: Simplify right side
    8,461.74x = 54,707,847.73
  5. Step 5: Solve for x
    x = 54,707,847.73/8,461.74
  6. Step 6: Final answer
    x = 6,465.32

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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.