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Finding the Fourth Proportional to 13,811.54, 19,057.79 and 7,760.58

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Solution

The fourth proportional to 13,811.54, 19,057.79 and 7,760.58 is: 10,708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.54 : 19,057.79 = 7,760.58 : x
  2. Step 2: Convert to fraction form
    13,811.54/19,057.79 = 7,760.58/x
  3. Step 3: Cross multiply
    13,811.54x = 19,057.79 × 7,760.58
  4. Step 4: Simplify right side
    13,811.54x = 147,899,465.12
  5. Step 5: Solve for x
    x = 147,899,465.12/13,811.54
  6. Step 6: Final answer
    x = 10,708.40

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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.