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Finding the Fourth Proportional to 10,305.93, 15,460.02 and 3,284.30

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Solution

The fourth proportional to 10,305.93, 15,460.02 and 3,284.30 is: 4,926.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.93 : 15,460.02 = 3,284.30 : x
  2. Step 2: Convert to fraction form
    10,305.93/15,460.02 = 3,284.30/x
  3. Step 3: Cross multiply
    10,305.93x = 15,460.02 × 3,284.30
  4. Step 4: Simplify right side
    10,305.93x = 50,775,343.69
  5. Step 5: Solve for x
    x = 50,775,343.69/10,305.93
  6. Step 6: Final answer
    x = 4,926.81

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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.