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Finding the Fourth Proportional to 13,083.81, 18,055.89 and 7,115.46

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Solution

The fourth proportional to 13,083.81, 18,055.89 and 7,115.46 is: 9,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.81 : 18,055.89 = 7,115.46 : x
  2. Step 2: Convert to fraction form
    13,083.81/18,055.89 = 7,115.46/x
  3. Step 3: Cross multiply
    13,083.81x = 18,055.89 × 7,115.46
  4. Step 4: Simplify right side
    13,083.81x = 128,475,963.06
  5. Step 5: Solve for x
    x = 128,475,963.06/13,083.81
  6. Step 6: Final answer
    x = 9,819.46

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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.