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Finding the Fourth Proportional to 8,049.60, 11,096.16 and 5,561.28

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Solution

The fourth proportional to 8,049.60, 11,096.16 and 5,561.28 is: 7,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.60 : 11,096.16 = 5,561.28 : x
  2. Step 2: Convert to fraction form
    8,049.60/11,096.16 = 5,561.28/x
  3. Step 3: Cross multiply
    8,049.60x = 11,096.16 × 5,561.28
  4. Step 4: Simplify right side
    8,049.60x = 61,708,852.68
  5. Step 5: Solve for x
    x = 61,708,852.68/8,049.60
  6. Step 6: Final answer
    x = 7,666.08

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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.