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Finding the Fourth Proportional to 10,186.74, 14,049.72 and 6,828.48

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Solution

The fourth proportional to 10,186.74, 14,049.72 and 6,828.48 is: 9,417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.74 : 14,049.72 = 6,828.48 : x
  2. Step 2: Convert to fraction form
    10,186.74/14,049.72 = 6,828.48/x
  3. Step 3: Cross multiply
    10,186.74x = 14,049.72 × 6,828.48
  4. Step 4: Simplify right side
    10,186.74x = 95,938,232.03
  5. Step 5: Solve for x
    x = 95,938,232.03/10,186.74
  6. Step 6: Final answer
    x = 9,417.95

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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.