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Finding the Fourth Proportional to 10,601.35, 14,611.49 and 7,944.14

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Solution

The fourth proportional to 10,601.35, 14,611.49 and 7,944.14 is: 10,949.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601.35 : 14,611.49 = 7,944.14 : x
  2. Step 2: Convert to fraction form
    10,601.35/14,611.49 = 7,944.14/x
  3. Step 3: Cross multiply
    10,601.35x = 14,611.49 × 7,944.14
  4. Step 4: Simplify right side
    10,601.35x = 116,075,748.77
  5. Step 5: Solve for x
    x = 116,075,748.77/10,601.35
  6. Step 6: Final answer
    x = 10,949.15

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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.