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Finding the Fourth Proportional to 13,083.78, 18,055.74 and 7,115.58

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Solution

The fourth proportional to 13,083.78, 18,055.74 and 7,115.58 is: 9,819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.78 : 18,055.74 = 7,115.58 : x
  2. Step 2: Convert to fraction form
    13,083.78/18,055.74 = 7,115.58/x
  3. Step 3: Cross multiply
    13,083.78x = 18,055.74 × 7,115.58
  4. Step 4: Simplify right side
    13,083.78x = 128,477,062.43
  5. Step 5: Solve for x
    x = 128,477,062.43/13,083.78
  6. Step 6: Final answer
    x = 9,819.57

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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.