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Finding the Fourth Proportional to 11,648.60, 16,075.16 and 6,343.44

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Solution

The fourth proportional to 11,648.60, 16,075.16 and 6,343.44 is: 8,754.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.60 : 16,075.16 = 6,343.44 : x
  2. Step 2: Convert to fraction form
    11,648.60/16,075.16 = 6,343.44/x
  3. Step 3: Cross multiply
    11,648.60x = 16,075.16 × 6,343.44
  4. Step 4: Simplify right side
    11,648.60x = 101,971,812.95
  5. Step 5: Solve for x
    x = 101,971,812.95/11,648.60
  6. Step 6: Final answer
    x = 8,754.00

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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.