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Finding the Fourth Proportional to 8,576.64, 11,835.36 and 4,849.92

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Solution

The fourth proportional to 8,576.64, 11,835.36 and 4,849.92 is: 6,692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.64 : 11,835.36 = 4,849.92 : x
  2. Step 2: Convert to fraction form
    8,576.64/11,835.36 = 4,849.92/x
  3. Step 3: Cross multiply
    8,576.64x = 11,835.36 × 4,849.92
  4. Step 4: Simplify right side
    8,576.64x = 57,400,549.17
  5. Step 5: Solve for x
    x = 57,400,549.17/8,576.64
  6. Step 6: Final answer
    x = 6,692.66

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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.