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Finding the Fourth Proportional to 8,461.18, 12,684.92 and 3,534.51

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Solution

The fourth proportional to 8,461.18, 12,684.92 and 3,534.51 is: 5,298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.18 : 12,684.92 = 3,534.51 : x
  2. Step 2: Convert to fraction form
    8,461.18/12,684.92 = 3,534.51/x
  3. Step 3: Cross multiply
    8,461.18x = 12,684.92 × 3,534.51
  4. Step 4: Simplify right side
    8,461.18x = 44,834,976.59
  5. Step 5: Solve for x
    x = 44,834,976.59/8,461.18
  6. Step 6: Final answer
    x = 5,298.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.