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Finding the Fourth Proportional to 11,464, 17,196.81 and 4,538.50

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Solution

The fourth proportional to 11,464, 17,196.81 and 4,538.50 is: 6,808.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464 : 17,196.81 = 4,538.50 : x
  2. Step 2: Convert to fraction form
    11,464/17,196.81 = 4,538.50/x
  3. Step 3: Cross multiply
    11,464x = 17,196.81 × 4,538.50
  4. Step 4: Simplify right side
    11,464x = 78,047,722.19
  5. Step 5: Solve for x
    x = 78,047,722.19/11,464
  6. Step 6: Final answer
    x = 6,808.07

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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.