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Finding the Fourth Proportional to 8,552.96, 11,784.80 and 5,753.60

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Solution

The fourth proportional to 8,552.96, 11,784.80 and 5,753.60 is: 7,927.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,552.96 : 11,784.80 = 5,753.60 : x
  2. Step 2: Convert to fraction form
    8,552.96/11,784.80 = 5,753.60/x
  3. Step 3: Cross multiply
    8,552.96x = 11,784.80 × 5,753.60
  4. Step 4: Simplify right side
    8,552.96x = 67,805,025.28
  5. Step 5: Solve for x
    x = 67,805,025.28/8,552.96
  6. Step 6: Final answer
    x = 7,927.67

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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.