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Finding the Fourth Proportional to 10,081.08, 15,129 and 5,154.84

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Solution

The fourth proportional to 10,081.08, 15,129 and 5,154.84 is: 7,736.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.08 : 15,129 = 5,154.84 : x
  2. Step 2: Convert to fraction form
    10,081.08/15,129 = 5,154.84/x
  3. Step 3: Cross multiply
    10,081.08x = 15,129 × 5,154.84
  4. Step 4: Simplify right side
    10,081.08x = 77,987,574.36
  5. Step 5: Solve for x
    x = 77,987,574.36/10,081.08
  6. Step 6: Final answer
    x = 7,736.03

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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.