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Finding the Fourth Proportional to 10,182.98, 14,046.29 and 6,733.56

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Solution

The fourth proportional to 10,182.98, 14,046.29 and 6,733.56 is: 9,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.98 : 14,046.29 = 6,733.56 : x
  2. Step 2: Convert to fraction form
    10,182.98/14,046.29 = 6,733.56/x
  3. Step 3: Cross multiply
    10,182.98x = 14,046.29 × 6,733.56
  4. Step 4: Simplify right side
    10,182.98x = 94,581,536.49
  5. Step 5: Solve for x
    x = 94,581,536.49/10,182.98
  6. Step 6: Final answer
    x = 9,288.20

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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.