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Finding the Fourth Proportional to 10,911.20, 16,340.88 and 7,783.52

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Solution

The fourth proportional to 10,911.20, 16,340.88 and 7,783.52 is: 11,656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.20 : 16,340.88 = 7,783.52 : x
  2. Step 2: Convert to fraction form
    10,911.20/16,340.88 = 7,783.52/x
  3. Step 3: Cross multiply
    10,911.20x = 16,340.88 × 7,783.52
  4. Step 4: Simplify right side
    10,911.20x = 127,189,566.30
  5. Step 5: Solve for x
    x = 127,189,566.30/10,911.20
  6. Step 6: Final answer
    x = 11,656.79

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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.