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Finding the Fourth Proportional to 8,272.94, 11,411.38 and 4,913.26

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Solution

The fourth proportional to 8,272.94, 11,411.38 and 4,913.26 is: 6,777.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.94 : 11,411.38 = 4,913.26 : x
  2. Step 2: Convert to fraction form
    8,272.94/11,411.38 = 4,913.26/x
  3. Step 3: Cross multiply
    8,272.94x = 11,411.38 × 4,913.26
  4. Step 4: Simplify right side
    8,272.94x = 56,067,054.51
  5. Step 5: Solve for x
    x = 56,067,054.51/8,272.94
  6. Step 6: Final answer
    x = 6,777.17

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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.