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Finding the Fourth Proportional to 8,504.14, 12,753.06 and 2,956

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Solution

The fourth proportional to 8,504.14, 12,753.06 and 2,956 is: 4,432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.14 : 12,753.06 = 2,956 : x
  2. Step 2: Convert to fraction form
    8,504.14/12,753.06 = 2,956/x
  3. Step 3: Cross multiply
    8,504.14x = 12,753.06 × 2,956
  4. Step 4: Simplify right side
    8,504.14x = 37,698,045.36
  5. Step 5: Solve for x
    x = 37,698,045.36/8,504.14
  6. Step 6: Final answer
    x = 4,432.91

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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.