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Finding the Fourth Proportional to 11,637.72, 16,059.98 and 6,332.57

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Solution

The fourth proportional to 11,637.72, 16,059.98 and 6,332.57 is: 8,738.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.72 : 16,059.98 = 6,332.57 : x
  2. Step 2: Convert to fraction form
    11,637.72/16,059.98 = 6,332.57/x
  3. Step 3: Cross multiply
    11,637.72x = 16,059.98 × 6,332.57
  4. Step 4: Simplify right side
    11,637.72x = 101,700,835.59
  5. Step 5: Solve for x
    x = 101,700,835.59/11,637.72
  6. Step 6: Final answer
    x = 8,738.90

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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.