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Finding the Fourth Proportional to 10,713.36, 14,782.24 and 6,237.84

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Solution

The fourth proportional to 10,713.36, 14,782.24 and 6,237.84 is: 8,606.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.36 : 14,782.24 = 6,237.84 : x
  2. Step 2: Convert to fraction form
    10,713.36/14,782.24 = 6,237.84/x
  3. Step 3: Cross multiply
    10,713.36x = 14,782.24 × 6,237.84
  4. Step 4: Simplify right side
    10,713.36x = 92,209,247.96
  5. Step 5: Solve for x
    x = 92,209,247.96/10,713.36
  6. Step 6: Final answer
    x = 8,606.94

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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.