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Finding the Fourth Proportional to 11,804.64, 17,709.36 and 4,879.14

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Solution

The fourth proportional to 11,804.64, 17,709.36 and 4,879.14 is: 7,319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.64 : 17,709.36 = 4,879.14 : x
  2. Step 2: Convert to fraction form
    11,804.64/17,709.36 = 4,879.14/x
  3. Step 3: Cross multiply
    11,804.64x = 17,709.36 × 4,879.14
  4. Step 4: Simplify right side
    11,804.64x = 86,406,446.75
  5. Step 5: Solve for x
    x = 86,406,446.75/11,804.64
  6. Step 6: Final answer
    x = 7,319.70

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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.