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Finding the Fourth Proportional to 10,213.02, 14,097.54 and 6,021

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Solution

The fourth proportional to 10,213.02, 14,097.54 and 6,021 is: 8,311.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.02 : 14,097.54 = 6,021 : x
  2. Step 2: Convert to fraction form
    10,213.02/14,097.54 = 6,021/x
  3. Step 3: Cross multiply
    10,213.02x = 14,097.54 × 6,021
  4. Step 4: Simplify right side
    10,213.02x = 84,881,288.34
  5. Step 5: Solve for x
    x = 84,881,288.34/10,213.02
  6. Step 6: Final answer
    x = 8,311.09

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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.