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Finding the Fourth Proportional to 11,709.68, 16,159.95 and 6,932.37

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Solution

The fourth proportional to 11,709.68, 16,159.95 and 6,932.37 is: 9,567.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.68 : 16,159.95 = 6,932.37 : x
  2. Step 2: Convert to fraction form
    11,709.68/16,159.95 = 6,932.37/x
  3. Step 3: Cross multiply
    11,709.68x = 16,159.95 × 6,932.37
  4. Step 4: Simplify right side
    11,709.68x = 112,026,671.78
  5. Step 5: Solve for x
    x = 112,026,671.78/11,709.68
  6. Step 6: Final answer
    x = 9,567.01

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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.