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Finding the Fourth Proportional to 7,856.76, 11,776.68 and 3,693.24

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Solution

The fourth proportional to 7,856.76, 11,776.68 and 3,693.24 is: 5,535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.76 : 11,776.68 = 3,693.24 : x
  2. Step 2: Convert to fraction form
    7,856.76/11,776.68 = 3,693.24/x
  3. Step 3: Cross multiply
    7,856.76x = 11,776.68 × 3,693.24
  4. Step 4: Simplify right side
    7,856.76x = 43,494,105.64
  5. Step 5: Solve for x
    x = 43,494,105.64/7,856.76
  6. Step 6: Final answer
    x = 5,535.88

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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.