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Finding the Fourth Proportional to 10,663.80, 14,719.20 and 6,189.60

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Solution

The fourth proportional to 10,663.80, 14,719.20 and 6,189.60 is: 8,543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.80 : 14,719.20 = 6,189.60 : x
  2. Step 2: Convert to fraction form
    10,663.80/14,719.20 = 6,189.60/x
  3. Step 3: Cross multiply
    10,663.80x = 14,719.20 × 6,189.60
  4. Step 4: Simplify right side
    10,663.80x = 91,105,960.32
  5. Step 5: Solve for x
    x = 91,105,960.32/10,663.80
  6. Step 6: Final answer
    x = 8,543.48

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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.