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Finding the Fourth Proportional to 10,852.56, 14,976.48 and 5,884.56

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Solution

The fourth proportional to 10,852.56, 14,976.48 and 5,884.56 is: 8,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.56 : 14,976.48 = 5,884.56 : x
  2. Step 2: Convert to fraction form
    10,852.56/14,976.48 = 5,884.56/x
  3. Step 3: Cross multiply
    10,852.56x = 14,976.48 × 5,884.56
  4. Step 4: Simplify right side
    10,852.56x = 88,129,995.15
  5. Step 5: Solve for x
    x = 88,129,995.15/10,852.56
  6. Step 6: Final answer
    x = 8,120.66

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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.