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Finding the Fourth Proportional to 10,837.80, 16,256.70 and 8,213.40

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Solution

The fourth proportional to 10,837.80, 16,256.70 and 8,213.40 is: 12,320.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,837.80 : 16,256.70 = 8,213.40 : x
  2. Step 2: Convert to fraction form
    10,837.80/16,256.70 = 8,213.40/x
  3. Step 3: Cross multiply
    10,837.80x = 16,256.70 × 8,213.40
  4. Step 4: Simplify right side
    10,837.80x = 133,522,779.78
  5. Step 5: Solve for x
    x = 133,522,779.78/10,837.80
  6. Step 6: Final answer
    x = 12,320.10

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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.