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Finding the Fourth Proportional to 10,284.54, 15,415.89 and 5,349.24

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Solution

The fourth proportional to 10,284.54, 15,415.89 and 5,349.24 is: 8,018.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.54 : 15,415.89 = 5,349.24 : x
  2. Step 2: Convert to fraction form
    10,284.54/15,415.89 = 5,349.24/x
  3. Step 3: Cross multiply
    10,284.54x = 15,415.89 × 5,349.24
  4. Step 4: Simplify right side
    10,284.54x = 82,463,295.42
  5. Step 5: Solve for x
    x = 82,463,295.42/10,284.54
  6. Step 6: Final answer
    x = 8,018.18

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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.