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Finding the Fourth Proportional to 11,043, 15,239.34 and 6,075

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Solution

The fourth proportional to 11,043, 15,239.34 and 6,075 is: 8,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,043 : 15,239.34 = 6,075 : x
  2. Step 2: Convert to fraction form
    11,043/15,239.34 = 6,075/x
  3. Step 3: Cross multiply
    11,043x = 15,239.34 × 6,075
  4. Step 4: Simplify right side
    11,043x = 92,578,990.50
  5. Step 5: Solve for x
    x = 92,578,990.50/11,043
  6. Step 6: Final answer
    x = 8,383.50

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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.