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Finding the Fourth Proportional to 11,663.16, 16,092.88 and 6,884.60

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Solution

The fourth proportional to 11,663.16, 16,092.88 and 6,884.60 is: 9,499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.16 : 16,092.88 = 6,884.60 : x
  2. Step 2: Convert to fraction form
    11,663.16/16,092.88 = 6,884.60/x
  3. Step 3: Cross multiply
    11,663.16x = 16,092.88 × 6,884.60
  4. Step 4: Simplify right side
    11,663.16x = 110,793,041.65
  5. Step 5: Solve for x
    x = 110,793,041.65/11,663.16
  6. Step 6: Final answer
    x = 9,499.40

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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.