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Finding the Fourth Proportional to 10,438.70, 14,405.16 and 5,962.46

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Solution

The fourth proportional to 10,438.70, 14,405.16 and 5,962.46 is: 8,228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.70 : 14,405.16 = 5,962.46 : x
  2. Step 2: Convert to fraction form
    10,438.70/14,405.16 = 5,962.46/x
  3. Step 3: Cross multiply
    10,438.70x = 14,405.16 × 5,962.46
  4. Step 4: Simplify right side
    10,438.70x = 85,890,190.29
  5. Step 5: Solve for x
    x = 85,890,190.29/10,438.70
  6. Step 6: Final answer
    x = 8,228.05

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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.