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Finding the Fourth Proportional to 8,525.34, 11,761.64 and 6,286.40

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Solution

The fourth proportional to 8,525.34, 11,761.64 and 6,286.40 is: 8,672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.34 : 11,761.64 = 6,286.40 : x
  2. Step 2: Convert to fraction form
    8,525.34/11,761.64 = 6,286.40/x
  3. Step 3: Cross multiply
    8,525.34x = 11,761.64 × 6,286.40
  4. Step 4: Simplify right side
    8,525.34x = 73,938,283.46
  5. Step 5: Solve for x
    x = 73,938,283.46/8,525.34
  6. Step 6: Final answer
    x = 8,672.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.