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Finding the Fourth Proportional to 11,774.66, 17,653.77 and 5,928.08

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Solution

The fourth proportional to 11,774.66, 17,653.77 and 5,928.08 is: 8,887.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.66 : 17,653.77 = 5,928.08 : x
  2. Step 2: Convert to fraction form
    11,774.66/17,653.77 = 5,928.08/x
  3. Step 3: Cross multiply
    11,774.66x = 17,653.77 × 5,928.08
  4. Step 4: Simplify right side
    11,774.66x = 104,652,872.59
  5. Step 5: Solve for x
    x = 104,652,872.59/11,774.66
  6. Step 6: Final answer
    x = 8,887.98

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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.