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Finding the Fourth Proportional to 8,406.53, 12,602.27 and 3,473.02

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Solution

The fourth proportional to 8,406.53, 12,602.27 and 3,473.02 is: 5,206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.53 : 12,602.27 = 3,473.02 : x
  2. Step 2: Convert to fraction form
    8,406.53/12,602.27 = 3,473.02/x
  3. Step 3: Cross multiply
    8,406.53x = 12,602.27 × 3,473.02
  4. Step 4: Simplify right side
    8,406.53x = 43,767,935.76
  5. Step 5: Solve for x
    x = 43,767,935.76/8,406.53
  6. Step 6: Final answer
    x = 5,206.42

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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.