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Finding the Fourth Proportional to 10,713.51, 14,786.46 and 6,239.90

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Solution

The fourth proportional to 10,713.51, 14,786.46 and 6,239.90 is: 8,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.51 : 14,786.46 = 6,239.90 : x
  2. Step 2: Convert to fraction form
    10,713.51/14,786.46 = 6,239.90/x
  3. Step 3: Cross multiply
    10,713.51x = 14,786.46 × 6,239.90
  4. Step 4: Simplify right side
    10,713.51x = 92,265,957.82
  5. Step 5: Solve for x
    x = 92,265,957.82/10,713.51
  6. Step 6: Final answer
    x = 8,612.11

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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.