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Finding the Fourth Proportional to 10,273.84, 14,178.18 and 6,082.09

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Solution

The fourth proportional to 10,273.84, 14,178.18 and 6,082.09 is: 8,393.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.84 : 14,178.18 = 6,082.09 : x
  2. Step 2: Convert to fraction form
    10,273.84/14,178.18 = 6,082.09/x
  3. Step 3: Cross multiply
    10,273.84x = 14,178.18 × 6,082.09
  4. Step 4: Simplify right side
    10,273.84x = 86,232,966.80
  5. Step 5: Solve for x
    x = 86,232,966.80/10,273.84
  6. Step 6: Final answer
    x = 8,393.45

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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.