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Finding the Fourth Proportional to 10,548.71, 14,557.20 and 5,832.99

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Solution

The fourth proportional to 10,548.71, 14,557.20 and 5,832.99 is: 8,049.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548.71 : 14,557.20 = 5,832.99 : x
  2. Step 2: Convert to fraction form
    10,548.71/14,557.20 = 5,832.99/x
  3. Step 3: Cross multiply
    10,548.71x = 14,557.20 × 5,832.99
  4. Step 4: Simplify right side
    10,548.71x = 84,912,002.03
  5. Step 5: Solve for x
    x = 84,912,002.03/10,548.71
  6. Step 6: Final answer
    x = 8,049.52

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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.