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Finding the Fourth Proportional to 10,157.50, 14,013.43 and 6,379.12

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Solution

The fourth proportional to 10,157.50, 14,013.43 and 6,379.12 is: 8,800.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.50 : 14,013.43 = 6,379.12 : x
  2. Step 2: Convert to fraction form
    10,157.50/14,013.43 = 6,379.12/x
  3. Step 3: Cross multiply
    10,157.50x = 14,013.43 × 6,379.12
  4. Step 4: Simplify right side
    10,157.50x = 89,393,351.58
  5. Step 5: Solve for x
    x = 89,393,351.58/10,157.50
  6. Step 6: Final answer
    x = 8,800.72

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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.