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Finding the Fourth Proportional to 11,546, 17,308.74 and 5,619.68

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Solution

The fourth proportional to 11,546, 17,308.74 and 5,619.68 is: 8,424.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546 : 17,308.74 = 5,619.68 : x
  2. Step 2: Convert to fraction form
    11,546/17,308.74 = 5,619.68/x
  3. Step 3: Cross multiply
    11,546x = 17,308.74 × 5,619.68
  4. Step 4: Simplify right side
    11,546x = 97,269,580.00
  5. Step 5: Solve for x
    x = 97,269,580.00/11,546
  6. Step 6: Final answer
    x = 8,424.53

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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.