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Finding the Fourth Proportional to 10,213.78, 14,097.93 and 6,180.60

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Solution

The fourth proportional to 10,213.78, 14,097.93 and 6,180.60 is: 8,530.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.78 : 14,097.93 = 6,180.60 : x
  2. Step 2: Convert to fraction form
    10,213.78/14,097.93 = 6,180.60/x
  3. Step 3: Cross multiply
    10,213.78x = 14,097.93 × 6,180.60
  4. Step 4: Simplify right side
    10,213.78x = 87,133,666.16
  5. Step 5: Solve for x
    x = 87,133,666.16/10,213.78
  6. Step 6: Final answer
    x = 8,530.99

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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.