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Finding the Fourth Proportional to 11,321, 15,622.26 and 6,285.32

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Solution

The fourth proportional to 11,321, 15,622.26 and 6,285.32 is: 8,673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,321 : 15,622.26 = 6,285.32 : x
  2. Step 2: Convert to fraction form
    11,321/15,622.26 = 6,285.32/x
  3. Step 3: Cross multiply
    11,321x = 15,622.26 × 6,285.32
  4. Step 4: Simplify right side
    11,321x = 98,190,903.22
  5. Step 5: Solve for x
    x = 98,190,903.22/11,321
  6. Step 6: Final answer
    x = 8,673.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.