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Finding the Fourth Proportional to 10,500.21, 14,487.02 and 5,962.14

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Solution

The fourth proportional to 10,500.21, 14,487.02 and 5,962.14 is: 8,225.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.21 : 14,487.02 = 5,962.14 : x
  2. Step 2: Convert to fraction form
    10,500.21/14,487.02 = 5,962.14/x
  3. Step 3: Cross multiply
    10,500.21x = 14,487.02 × 5,962.14
  4. Step 4: Simplify right side
    10,500.21x = 86,373,611.61
  5. Step 5: Solve for x
    x = 86,373,611.61/10,500.21
  6. Step 6: Final answer
    x = 8,225.89

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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.