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Finding the Fourth Proportional to 11,314.14, 15,604.02 and 7,281.60

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Solution

The fourth proportional to 11,314.14, 15,604.02 and 7,281.60 is: 10,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.14 : 15,604.02 = 7,281.60 : x
  2. Step 2: Convert to fraction form
    11,314.14/15,604.02 = 7,281.60/x
  3. Step 3: Cross multiply
    11,314.14x = 15,604.02 × 7,281.60
  4. Step 4: Simplify right side
    11,314.14x = 113,622,232.03
  5. Step 5: Solve for x
    x = 113,622,232.03/11,314.14
  6. Step 6: Final answer
    x = 10,042.50

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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.