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Finding the Fourth Proportional to 11,558.01, 15,949.68 and 7,311.39

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Solution

The fourth proportional to 11,558.01, 15,949.68 and 7,311.39 is: 10,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558.01 : 15,949.68 = 7,311.39 : x
  2. Step 2: Convert to fraction form
    11,558.01/15,949.68 = 7,311.39/x
  3. Step 3: Cross multiply
    11,558.01x = 15,949.68 × 7,311.39
  4. Step 4: Simplify right side
    11,558.01x = 116,614,330.86
  5. Step 5: Solve for x
    x = 116,614,330.86/11,558.01
  6. Step 6: Final answer
    x = 10,089.48

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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.