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Finding the Fourth Proportional to 11,607.26, 16,017.78 and 6,571.39

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Solution

The fourth proportional to 11,607.26, 16,017.78 and 6,571.39 is: 9,068.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607.26 : 16,017.78 = 6,571.39 : x
  2. Step 2: Convert to fraction form
    11,607.26/16,017.78 = 6,571.39/x
  3. Step 3: Cross multiply
    11,607.26x = 16,017.78 × 6,571.39
  4. Step 4: Simplify right side
    11,607.26x = 105,259,079.31
  5. Step 5: Solve for x
    x = 105,259,079.31/11,607.26
  6. Step 6: Final answer
    x = 9,068.38

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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.