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Finding the Fourth Proportional to 8,407.94, 12,607.36 and 3,474.44

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Solution

The fourth proportional to 8,407.94, 12,607.36 and 3,474.44 is: 5,209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.94 : 12,607.36 = 3,474.44 : x
  2. Step 2: Convert to fraction form
    8,407.94/12,607.36 = 3,474.44/x
  3. Step 3: Cross multiply
    8,407.94x = 12,607.36 × 3,474.44
  4. Step 4: Simplify right side
    8,407.94x = 43,803,444.16
  5. Step 5: Solve for x
    x = 43,803,444.16/8,407.94
  6. Step 6: Final answer
    x = 5,209.77

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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.