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Finding the Fourth Proportional to 11,648.94, 16,075.04 and 6,343.80

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Solution

The fourth proportional to 11,648.94, 16,075.04 and 6,343.80 is: 8,754.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.94 : 16,075.04 = 6,343.80 : x
  2. Step 2: Convert to fraction form
    11,648.94/16,075.04 = 6,343.80/x
  3. Step 3: Cross multiply
    11,648.94x = 16,075.04 × 6,343.80
  4. Step 4: Simplify right side
    11,648.94x = 101,976,807.03
  5. Step 5: Solve for x
    x = 101,976,807.03/11,648.94
  6. Step 6: Final answer
    x = 8,754.17

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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.