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Finding the Fourth Proportional to 11,648.88, 16,075.03 and 6,343.58

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Solution

The fourth proportional to 11,648.88, 16,075.03 and 6,343.58 is: 8,753.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.88 : 16,075.03 = 6,343.58 : x
  2. Step 2: Convert to fraction form
    11,648.88/16,075.03 = 6,343.58/x
  3. Step 3: Cross multiply
    11,648.88x = 16,075.03 × 6,343.58
  4. Step 4: Simplify right side
    11,648.88x = 101,973,238.81
  5. Step 5: Solve for x
    x = 101,973,238.81/11,648.88
  6. Step 6: Final answer
    x = 8,753.91

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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.