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Finding the Fourth Proportional to 12,760.67, 19,130.02 and 5,639.51

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Solution

The fourth proportional to 12,760.67, 19,130.02 and 5,639.51 is: 8,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.67 : 19,130.02 = 5,639.51 : x
  2. Step 2: Convert to fraction form
    12,760.67/19,130.02 = 5,639.51/x
  3. Step 3: Cross multiply
    12,760.67x = 19,130.02 × 5,639.51
  4. Step 4: Simplify right side
    12,760.67x = 107,883,939.09
  5. Step 5: Solve for x
    x = 107,883,939.09/12,760.67
  6. Step 6: Final answer
    x = 8,454.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.