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Finding the Fourth Proportional to 8,504.94, 12,757.55 and 2,958.46

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Solution

The fourth proportional to 8,504.94, 12,757.55 and 2,958.46 is: 4,437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.94 : 12,757.55 = 2,958.46 : x
  2. Step 2: Convert to fraction form
    8,504.94/12,757.55 = 2,958.46/x
  3. Step 3: Cross multiply
    8,504.94x = 12,757.55 × 2,958.46
  4. Step 4: Simplify right side
    8,504.94x = 37,742,701.37
  5. Step 5: Solve for x
    x = 37,742,701.37/8,504.94
  6. Step 6: Final answer
    x = 4,437.74

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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.