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Finding the Fourth Proportional to 8,477.70, 12,707.55 and 4,092.30

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Solution

The fourth proportional to 8,477.70, 12,707.55 and 4,092.30 is: 6,134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.70 : 12,707.55 = 4,092.30 : x
  2. Step 2: Convert to fraction form
    8,477.70/12,707.55 = 4,092.30/x
  3. Step 3: Cross multiply
    8,477.70x = 12,707.55 × 4,092.30
  4. Step 4: Simplify right side
    8,477.70x = 52,003,106.87
  5. Step 5: Solve for x
    x = 52,003,106.87/8,477.70
  6. Step 6: Final answer
    x = 6,134.11

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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.