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Finding the Fourth Proportional to 5,108.96, 7,663.44 and 1,410.78

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Solution

The fourth proportional to 5,108.96, 7,663.44 and 1,410.78 is: 2,116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.96 : 7,663.44 = 1,410.78 : x
  2. Step 2: Convert to fraction form
    5,108.96/7,663.44 = 1,410.78/x
  3. Step 3: Cross multiply
    5,108.96x = 7,663.44 × 1,410.78
  4. Step 4: Simplify right side
    5,108.96x = 10,811,427.88
  5. Step 5: Solve for x
    x = 10,811,427.88/5,108.96
  6. Step 6: Final answer
    x = 2,116.17

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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.