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Finding the Fourth Proportional to 11,590.45, 15,993.65 and 7,114.39

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Solution

The fourth proportional to 11,590.45, 15,993.65 and 7,114.39 is: 9,817.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.45 : 15,993.65 = 7,114.39 : x
  2. Step 2: Convert to fraction form
    11,590.45/15,993.65 = 7,114.39/x
  3. Step 3: Cross multiply
    11,590.45x = 15,993.65 × 7,114.39
  4. Step 4: Simplify right side
    11,590.45x = 113,785,028.05
  5. Step 5: Solve for x
    x = 113,785,028.05/11,590.45
  6. Step 6: Final answer
    x = 9,817.14

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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.