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Finding the Fourth Proportional to 11,804.16, 17,693.76 and 4,414.08

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Solution

The fourth proportional to 11,804.16, 17,693.76 and 4,414.08 is: 6,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.16 : 17,693.76 = 4,414.08 : x
  2. Step 2: Convert to fraction form
    11,804.16/17,693.76 = 4,414.08/x
  3. Step 3: Cross multiply
    11,804.16x = 17,693.76 × 4,414.08
  4. Step 4: Simplify right side
    11,804.16x = 78,101,672.14
  5. Step 5: Solve for x
    x = 78,101,672.14/11,804.16
  6. Step 6: Final answer
    x = 6,616.45

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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.