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Finding the Fourth Proportional to 8,461.91, 11,677.29 and 4,685

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Solution

The fourth proportional to 8,461.91, 11,677.29 and 4,685 is: 6,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.91 : 11,677.29 = 4,685 : x
  2. Step 2: Convert to fraction form
    8,461.91/11,677.29 = 4,685/x
  3. Step 3: Cross multiply
    8,461.91x = 11,677.29 × 4,685
  4. Step 4: Simplify right side
    8,461.91x = 54,708,103.65
  5. Step 5: Solve for x
    x = 54,708,103.65/8,461.91
  6. Step 6: Final answer
    x = 6,465.22

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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.