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Finding the Fourth Proportional to 7,856.17, 11,783.04 and 5,102.37

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Solution

The fourth proportional to 7,856.17, 11,783.04 and 5,102.37 is: 7,652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.17 : 11,783.04 = 5,102.37 : x
  2. Step 2: Convert to fraction form
    7,856.17/11,783.04 = 5,102.37/x
  3. Step 3: Cross multiply
    7,856.17x = 11,783.04 × 5,102.37
  4. Step 4: Simplify right side
    7,856.17x = 60,121,410.67
  5. Step 5: Solve for x
    x = 60,121,410.67/7,856.17
  6. Step 6: Final answer
    x = 7,652.77

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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.