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Finding the Fourth Proportional to 10,713.30, 16,072.59 and 3,693.42

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Solution

The fourth proportional to 10,713.30, 16,072.59 and 3,693.42 is: 5,541.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.30 : 16,072.59 = 3,693.42 : x
  2. Step 2: Convert to fraction form
    10,713.30/16,072.59 = 3,693.42/x
  3. Step 3: Cross multiply
    10,713.30x = 16,072.59 × 3,693.42
  4. Step 4: Simplify right side
    10,713.30x = 59,362,825.36
  5. Step 5: Solve for x
    x = 59,362,825.36/10,713.30
  6. Step 6: Final answer
    x = 5,541.04

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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.