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Finding the Fourth Proportional to 13,078.10, 18,049.29 and 7,772.87

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Solution

The fourth proportional to 13,078.10, 18,049.29 and 7,772.87 is: 10,727.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.10 : 18,049.29 = 7,772.87 : x
  2. Step 2: Convert to fraction form
    13,078.10/18,049.29 = 7,772.87/x
  3. Step 3: Cross multiply
    13,078.10x = 18,049.29 × 7,772.87
  4. Step 4: Simplify right side
    13,078.10x = 140,294,784.76
  5. Step 5: Solve for x
    x = 140,294,784.76/13,078.10
  6. Step 6: Final answer
    x = 10,727.46

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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.