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Finding the Fourth Proportional to 10,018.05, 13,822.43 and 6,477

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Solution

The fourth proportional to 10,018.05, 13,822.43 and 6,477 is: 8,936.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018.05 : 13,822.43 = 6,477 : x
  2. Step 2: Convert to fraction form
    10,018.05/13,822.43 = 6,477/x
  3. Step 3: Cross multiply
    10,018.05x = 13,822.43 × 6,477
  4. Step 4: Simplify right side
    10,018.05x = 89,527,846.73
  5. Step 5: Solve for x
    x = 89,527,846.73/10,018.05
  6. Step 6: Final answer
    x = 8,936.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.