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Finding the Fourth Proportional to 10,163.85, 14,026.05 and 6,184.17

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Solution

The fourth proportional to 10,163.85, 14,026.05 and 6,184.17 is: 8,534.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163.85 : 14,026.05 = 6,184.17 : x
  2. Step 2: Convert to fraction form
    10,163.85/14,026.05 = 6,184.17/x
  3. Step 3: Cross multiply
    10,163.85x = 14,026.05 × 6,184.17
  4. Step 4: Simplify right side
    10,163.85x = 86,739,477.63
  5. Step 5: Solve for x
    x = 86,739,477.63/10,163.85
  6. Step 6: Final answer
    x = 8,534.12

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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.