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Finding the Fourth Proportional to 11,595.38, 16,002.41 and 6,559.58

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Solution

The fourth proportional to 11,595.38, 16,002.41 and 6,559.58 is: 9,052.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.38 : 16,002.41 = 6,559.58 : x
  2. Step 2: Convert to fraction form
    11,595.38/16,002.41 = 6,559.58/x
  3. Step 3: Cross multiply
    11,595.38x = 16,002.41 × 6,559.58
  4. Step 4: Simplify right side
    11,595.38x = 104,969,095.80
  5. Step 5: Solve for x
    x = 104,969,095.80/11,595.38
  6. Step 6: Final answer
    x = 9,052.67

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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.