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Finding the Fourth Proportional to 11,590.64, 17,389.19 and 3,804.92

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Solution

The fourth proportional to 11,590.64, 17,389.19 and 3,804.92 is: 5,708.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.64 : 17,389.19 = 3,804.92 : x
  2. Step 2: Convert to fraction form
    11,590.64/17,389.19 = 3,804.92/x
  3. Step 3: Cross multiply
    11,590.64x = 17,389.19 × 3,804.92
  4. Step 4: Simplify right side
    11,590.64x = 66,164,399.38
  5. Step 5: Solve for x
    x = 66,164,399.38/11,590.64
  6. Step 6: Final answer
    x = 5,708.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.