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Finding the Fourth Proportional to 11,558.44, 15,949.38 and 6,590.44

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Solution

The fourth proportional to 11,558.44, 15,949.38 and 6,590.44 is: 9,094.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558.44 : 15,949.38 = 6,590.44 : x
  2. Step 2: Convert to fraction form
    11,558.44/15,949.38 = 6,590.44/x
  3. Step 3: Cross multiply
    11,558.44x = 15,949.38 × 6,590.44
  4. Step 4: Simplify right side
    11,558.44x = 105,113,431.93
  5. Step 5: Solve for x
    x = 105,113,431.93/11,558.44
  6. Step 6: Final answer
    x = 9,094.08

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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.