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Finding the Fourth Proportional to 8,272.02, 11,415.41 and 4,495.15

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Solution

The fourth proportional to 8,272.02, 11,415.41 and 4,495.15 is: 6,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.02 : 11,415.41 = 4,495.15 : x
  2. Step 2: Convert to fraction form
    8,272.02/11,415.41 = 4,495.15/x
  3. Step 3: Cross multiply
    8,272.02x = 11,415.41 × 4,495.15
  4. Step 4: Simplify right side
    8,272.02x = 51,313,980.26
  5. Step 5: Solve for x
    x = 51,313,980.26/8,272.02
  6. Step 6: Final answer
    x = 6,203.32

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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.