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Finding the Fourth Proportional to 10,005.25, 15,003.16 and 5,846.46

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Solution

The fourth proportional to 10,005.25, 15,003.16 and 5,846.46 is: 8,766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.25 : 15,003.16 = 5,846.46 : x
  2. Step 2: Convert to fraction form
    10,005.25/15,003.16 = 5,846.46/x
  3. Step 3: Cross multiply
    10,005.25x = 15,003.16 × 5,846.46
  4. Step 4: Simplify right side
    10,005.25x = 87,715,325.86
  5. Step 5: Solve for x
    x = 87,715,325.86/10,005.25
  6. Step 6: Final answer
    x = 8,766.93

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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.