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Finding the Fourth Proportional to 10,681.34, 14,738 and 6,202.78

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Solution

The fourth proportional to 10,681.34, 14,738 and 6,202.78 is: 8,558.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.34 : 14,738 = 6,202.78 : x
  2. Step 2: Convert to fraction form
    10,681.34/14,738 = 6,202.78/x
  3. Step 3: Cross multiply
    10,681.34x = 14,738 × 6,202.78
  4. Step 4: Simplify right side
    10,681.34x = 91,416,571.64
  5. Step 5: Solve for x
    x = 91,416,571.64/10,681.34
  6. Step 6: Final answer
    x = 8,558.53

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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.