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Finding the Fourth Proportional to 8,209.63, 12,304.10 and 4,461.35

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Solution

The fourth proportional to 8,209.63, 12,304.10 and 4,461.35 is: 6,686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.63 : 12,304.10 = 4,461.35 : x
  2. Step 2: Convert to fraction form
    8,209.63/12,304.10 = 4,461.35/x
  3. Step 3: Cross multiply
    8,209.63x = 12,304.10 × 4,461.35
  4. Step 4: Simplify right side
    8,209.63x = 54,892,896.54
  5. Step 5: Solve for x
    x = 54,892,896.54/8,209.63
  6. Step 6: Final answer
    x = 6,686.40

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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.