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Finding the Fourth Proportional to 10,204.94, 14,082.80 and 5,728.77

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Solution

The fourth proportional to 10,204.94, 14,082.80 and 5,728.77 is: 7,905.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.94 : 14,082.80 = 5,728.77 : x
  2. Step 2: Convert to fraction form
    10,204.94/14,082.80 = 5,728.77/x
  3. Step 3: Cross multiply
    10,204.94x = 14,082.80 × 5,728.77
  4. Step 4: Simplify right side
    10,204.94x = 80,677,093.51
  5. Step 5: Solve for x
    x = 80,677,093.51/10,204.94
  6. Step 6: Final answer
    x = 7,905.69

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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.