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Finding the Fourth Proportional to 10,269.72, 14,165.82 and 6,075

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Solution

The fourth proportional to 10,269.72, 14,165.82 and 6,075 is: 8,379.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.72 : 14,165.82 = 6,075 : x
  2. Step 2: Convert to fraction form
    10,269.72/14,165.82 = 6,075/x
  3. Step 3: Cross multiply
    10,269.72x = 14,165.82 × 6,075
  4. Step 4: Simplify right side
    10,269.72x = 86,057,356.50
  5. Step 5: Solve for x
    x = 86,057,356.50/10,269.72
  6. Step 6: Final answer
    x = 8,379.72

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