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Finding the Fourth Proportional to 11,709.59, 16,160.79 and 7,529.99

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Solution

The fourth proportional to 11,709.59, 16,160.79 and 7,529.99 is: 10,392.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.59 : 16,160.79 = 7,529.99 : x
  2. Step 2: Convert to fraction form
    11,709.59/16,160.79 = 7,529.99/x
  3. Step 3: Cross multiply
    11,709.59x = 16,160.79 × 7,529.99
  4. Step 4: Simplify right side
    11,709.59x = 121,690,506.29
  5. Step 5: Solve for x
    x = 121,690,506.29/11,709.59
  6. Step 6: Final answer
    x = 10,392.38

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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.