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Finding the Fourth Proportional to 11,811.14, 16,293.93 and 7,620.74

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Solution

The fourth proportional to 11,811.14, 16,293.93 and 7,620.74 is: 10,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.14 : 16,293.93 = 7,620.74 : x
  2. Step 2: Convert to fraction form
    11,811.14/16,293.93 = 7,620.74/x
  3. Step 3: Cross multiply
    11,811.14x = 16,293.93 × 7,620.74
  4. Step 4: Simplify right side
    11,811.14x = 124,171,804.11
  5. Step 5: Solve for x
    x = 124,171,804.11/11,811.14
  6. Step 6: Final answer
    x = 10,513.11

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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.