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Finding the Fourth Proportional to 8,471.94, 12,712.25 and 4,034.63

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Solution

The fourth proportional to 8,471.94, 12,712.25 and 4,034.63 is: 6,054.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.94 : 12,712.25 = 4,034.63 : x
  2. Step 2: Convert to fraction form
    8,471.94/12,712.25 = 4,034.63/x
  3. Step 3: Cross multiply
    8,471.94x = 12,712.25 × 4,034.63
  4. Step 4: Simplify right side
    8,471.94x = 51,289,141.48
  5. Step 5: Solve for x
    x = 51,289,141.48/8,471.94
  6. Step 6: Final answer
    x = 6,054.00

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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.