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Finding the Fourth Proportional to 10,823.88, 14,945.40 and 8,472.72

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Solution

The fourth proportional to 10,823.88, 14,945.40 and 8,472.72 is: 11,698.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.88 : 14,945.40 = 8,472.72 : x
  2. Step 2: Convert to fraction form
    10,823.88/14,945.40 = 8,472.72/x
  3. Step 3: Cross multiply
    10,823.88x = 14,945.40 × 8,472.72
  4. Step 4: Simplify right side
    10,823.88x = 126,628,189.49
  5. Step 5: Solve for x
    x = 126,628,189.49/10,823.88
  6. Step 6: Final answer
    x = 11,698.96

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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.