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Finding the Fourth Proportional to 11,648.76, 16,075.36 and 6,343.56

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Solution

The fourth proportional to 11,648.76, 16,075.36 and 6,343.56 is: 8,754.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.76 : 16,075.36 = 6,343.56 : x
  2. Step 2: Convert to fraction form
    11,648.76/16,075.36 = 6,343.56/x
  3. Step 3: Cross multiply
    11,648.76x = 16,075.36 × 6,343.56
  4. Step 4: Simplify right side
    11,648.76x = 101,975,010.68
  5. Step 5: Solve for x
    x = 101,975,010.68/11,648.76
  6. Step 6: Final answer
    x = 8,754.15

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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.