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Finding the Fourth Proportional to 11,495, 17,228.54 and 5,246.44

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Solution

The fourth proportional to 11,495, 17,228.54 and 5,246.44 is: 7,863.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495 : 17,228.54 = 5,246.44 : x
  2. Step 2: Convert to fraction form
    11,495/17,228.54 = 5,246.44/x
  3. Step 3: Cross multiply
    11,495x = 17,228.54 × 5,246.44
  4. Step 4: Simplify right side
    11,495x = 90,388,501.40
  5. Step 5: Solve for x
    x = 90,388,501.40/11,495
  6. Step 6: Final answer
    x = 7,863.29

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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.