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Finding the Fourth Proportional to 11,637.94, 16,059.88 and 6,332.78

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Solution

The fourth proportional to 11,637.94, 16,059.88 and 6,332.78 is: 8,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.94 : 16,059.88 = 6,332.78 : x
  2. Step 2: Convert to fraction form
    11,637.94/16,059.88 = 6,332.78/x
  3. Step 3: Cross multiply
    11,637.94x = 16,059.88 × 6,332.78
  4. Step 4: Simplify right side
    11,637.94x = 101,703,686.87
  5. Step 5: Solve for x
    x = 101,703,686.87/11,637.94
  6. Step 6: Final answer
    x = 8,738.98

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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.