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Finding the Fourth Proportional to 10,713.18, 14,782.43 and 6,731.47

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Solution

The fourth proportional to 10,713.18, 14,782.43 and 6,731.47 is: 9,288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.18 : 14,782.43 = 6,731.47 : x
  2. Step 2: Convert to fraction form
    10,713.18/14,782.43 = 6,731.47/x
  3. Step 3: Cross multiply
    10,713.18x = 14,782.43 × 6,731.47
  4. Step 4: Simplify right side
    10,713.18x = 99,507,450.41
  5. Step 5: Solve for x
    x = 99,507,450.41/10,713.18
  6. Step 6: Final answer
    x = 9,288.32

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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.