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Finding the Fourth Proportional to 11,077.60, 16,632.60 and 7,805.20

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Solution

The fourth proportional to 11,077.60, 16,632.60 and 7,805.20 is: 11,719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.60 : 16,632.60 = 7,805.20 : x
  2. Step 2: Convert to fraction form
    11,077.60/16,632.60 = 7,805.20/x
  3. Step 3: Cross multiply
    11,077.60x = 16,632.60 × 7,805.20
  4. Step 4: Simplify right side
    11,077.60x = 129,820,769.52
  5. Step 5: Solve for x
    x = 129,820,769.52/11,077.60
  6. Step 6: Final answer
    x = 11,719.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.