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Finding the Fourth Proportional to 13,078.78, 18,048.73 and 7,110.43

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Solution

The fourth proportional to 13,078.78, 18,048.73 and 7,110.43 is: 9,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.78 : 18,048.73 = 7,110.43 : x
  2. Step 2: Convert to fraction form
    13,078.78/18,048.73 = 7,110.43/x
  3. Step 3: Cross multiply
    13,078.78x = 18,048.73 × 7,110.43
  4. Step 4: Simplify right side
    13,078.78x = 128,334,231.25
  5. Step 5: Solve for x
    x = 128,334,231.25/13,078.78
  6. Step 6: Final answer
    x = 9,812.40

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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.