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Finding the Fourth Proportional to 10,300.25, 14,213.03 and 6,713.57

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Solution

The fourth proportional to 10,300.25, 14,213.03 and 6,713.57 is: 9,263.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.25 : 14,213.03 = 6,713.57 : x
  2. Step 2: Convert to fraction form
    10,300.25/14,213.03 = 6,713.57/x
  3. Step 3: Cross multiply
    10,300.25x = 14,213.03 × 6,713.57
  4. Step 4: Simplify right side
    10,300.25x = 95,420,173.78
  5. Step 5: Solve for x
    x = 95,420,173.78/10,300.25
  6. Step 6: Final answer
    x = 9,263.87

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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.