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Finding the Fourth Proportional to 13,084.58, 18,053.56 and 8,302.78

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Solution

The fourth proportional to 13,084.58, 18,053.56 and 8,302.78 is: 11,455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084.58 : 18,053.56 = 8,302.78 : x
  2. Step 2: Convert to fraction form
    13,084.58/18,053.56 = 8,302.78/x
  3. Step 3: Cross multiply
    13,084.58x = 18,053.56 × 8,302.78
  4. Step 4: Simplify right side
    13,084.58x = 149,894,736.90
  5. Step 5: Solve for x
    x = 149,894,736.90/13,084.58
  6. Step 6: Final answer
    x = 11,455.83

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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.