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Finding the Fourth Proportional to 13,078.91, 18,049.25 and 7,110.98

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Solution

The fourth proportional to 13,078.91, 18,049.25 and 7,110.98 is: 9,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.91 : 18,049.25 = 7,110.98 : x
  2. Step 2: Convert to fraction form
    13,078.91/18,049.25 = 7,110.98/x
  3. Step 3: Cross multiply
    13,078.91x = 18,049.25 × 7,110.98
  4. Step 4: Simplify right side
    13,078.91x = 128,347,855.77
  5. Step 5: Solve for x
    x = 128,347,855.77/13,078.91
  6. Step 6: Final answer
    x = 9,813.34

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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.