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Finding the Fourth Proportional to 10,663.50, 14,715.31 and 6,186.95

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Solution

The fourth proportional to 10,663.50, 14,715.31 and 6,186.95 is: 8,537.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.50 : 14,715.31 = 6,186.95 : x
  2. Step 2: Convert to fraction form
    10,663.50/14,715.31 = 6,186.95/x
  3. Step 3: Cross multiply
    10,663.50x = 14,715.31 × 6,186.95
  4. Step 4: Simplify right side
    10,663.50x = 91,042,887.20
  5. Step 5: Solve for x
    x = 91,042,887.20/10,663.50
  6. Step 6: Final answer
    x = 8,537.81

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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.