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Finding the Fourth Proportional to 10,415.32, 15,622.82 and 5,221.08

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Solution

The fourth proportional to 10,415.32, 15,622.82 and 5,221.08 is: 7,831.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.32 : 15,622.82 = 5,221.08 : x
  2. Step 2: Convert to fraction form
    10,415.32/15,622.82 = 5,221.08/x
  3. Step 3: Cross multiply
    10,415.32x = 15,622.82 × 5,221.08
  4. Step 4: Simplify right side
    10,415.32x = 81,567,993.05
  5. Step 5: Solve for x
    x = 81,567,993.05/10,415.32
  6. Step 6: Final answer
    x = 7,831.54

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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.