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Finding the Fourth Proportional to 10,165.30, 14,027.18 and 5,916.17

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Solution

The fourth proportional to 10,165.30, 14,027.18 and 5,916.17 is: 8,163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.30 : 14,027.18 = 5,916.17 : x
  2. Step 2: Convert to fraction form
    10,165.30/14,027.18 = 5,916.17/x
  3. Step 3: Cross multiply
    10,165.30x = 14,027.18 × 5,916.17
  4. Step 4: Simplify right side
    10,165.30x = 82,987,186.99
  5. Step 5: Solve for x
    x = 82,987,186.99/10,165.30
  6. Step 6: Final answer
    x = 8,163.77

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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.