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Finding the Fourth Proportional to 10,373.21, 14,315.03 and 5,896.85

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Solution

The fourth proportional to 10,373.21, 14,315.03 and 5,896.85 is: 8,137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,373.21 : 14,315.03 = 5,896.85 : x
  2. Step 2: Convert to fraction form
    10,373.21/14,315.03 = 5,896.85/x
  3. Step 3: Cross multiply
    10,373.21x = 14,315.03 × 5,896.85
  4. Step 4: Simplify right side
    10,373.21x = 84,413,483.60
  5. Step 5: Solve for x
    x = 84,413,483.60/10,373.21
  6. Step 6: Final answer
    x = 8,137.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.