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Finding the Fourth Proportional to 10,081.14, 15,129 and 4,540.74

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Solution

The fourth proportional to 10,081.14, 15,129 and 4,540.74 is: 6,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.14 : 15,129 = 4,540.74 : x
  2. Step 2: Convert to fraction form
    10,081.14/15,129 = 4,540.74/x
  3. Step 3: Cross multiply
    10,081.14x = 15,129 × 4,540.74
  4. Step 4: Simplify right side
    10,081.14x = 68,696,855.46
  5. Step 5: Solve for x
    x = 68,696,855.46/10,081.14
  6. Step 6: Final answer
    x = 6,814.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.