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Finding the Fourth Proportional to 8,406.81, 12,600.50 and 4,461.91

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Solution

The fourth proportional to 8,406.81, 12,600.50 and 4,461.91 is: 6,687.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.81 : 12,600.50 = 4,461.91 : x
  2. Step 2: Convert to fraction form
    8,406.81/12,600.50 = 4,461.91/x
  3. Step 3: Cross multiply
    8,406.81x = 12,600.50 × 4,461.91
  4. Step 4: Simplify right side
    8,406.81x = 56,222,243.14
  5. Step 5: Solve for x
    x = 56,222,243.14/8,406.81
  6. Step 6: Final answer
    x = 6,687.70

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Why These Related Problems?

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