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Finding the Fourth Proportional to 10,012.14, 13,806.72 and 7,773.21

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Solution

The fourth proportional to 10,012.14, 13,806.72 and 7,773.21 is: 10,719.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.14 : 13,806.72 = 7,773.21 : x
  2. Step 2: Convert to fraction form
    10,012.14/13,806.72 = 7,773.21/x
  3. Step 3: Cross multiply
    10,012.14x = 13,806.72 × 7,773.21
  4. Step 4: Simplify right side
    10,012.14x = 107,322,533.97
  5. Step 5: Solve for x
    x = 107,322,533.97/10,012.14
  6. Step 6: Final answer
    x = 10,719.24

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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.