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Finding the Fourth Proportional to 10,619.84, 15,933 and 5,429.36

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Solution

The fourth proportional to 10,619.84, 15,933 and 5,429.36 is: 8,145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,619.84 : 15,933 = 5,429.36 : x
  2. Step 2: Convert to fraction form
    10,619.84/15,933 = 5,429.36/x
  3. Step 3: Cross multiply
    10,619.84x = 15,933 × 5,429.36
  4. Step 4: Simplify right side
    10,619.84x = 86,505,992.88
  5. Step 5: Solve for x
    x = 86,505,992.88/10,619.84
  6. Step 6: Final answer
    x = 8,145.70

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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.