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Finding the Fourth Proportional to 10,663.85, 14,719.02 and 6,186.70

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Solution

The fourth proportional to 10,663.85, 14,719.02 and 6,186.70 is: 8,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.85 : 14,719.02 = 6,186.70 : x
  2. Step 2: Convert to fraction form
    10,663.85/14,719.02 = 6,186.70/x
  3. Step 3: Cross multiply
    10,663.85x = 14,719.02 × 6,186.70
  4. Step 4: Simplify right side
    10,663.85x = 91,062,236.78
  5. Step 5: Solve for x
    x = 91,062,236.78/10,663.85
  6. Step 6: Final answer
    x = 8,539.34

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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.