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Finding the Fourth Proportional to 7,856.56, 11,783.55 and 2,309.27

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Solution

The fourth proportional to 7,856.56, 11,783.55 and 2,309.27 is: 3,463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.56 : 11,783.55 = 2,309.27 : x
  2. Step 2: Convert to fraction form
    7,856.56/11,783.55 = 2,309.27/x
  3. Step 3: Cross multiply
    7,856.56x = 11,783.55 × 2,309.27
  4. Step 4: Simplify right side
    7,856.56x = 27,211,398.51
  5. Step 5: Solve for x
    x = 27,211,398.51/7,856.56
  6. Step 6: Final answer
    x = 3,463.53

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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.