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Finding the Fourth Proportional to 12,755.36, 17,601.72 and 7,166

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Solution

The fourth proportional to 12,755.36, 17,601.72 and 7,166 is: 9,888.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,755.36 : 17,601.72 = 7,166 : x
  2. Step 2: Convert to fraction form
    12,755.36/17,601.72 = 7,166/x
  3. Step 3: Cross multiply
    12,755.36x = 17,601.72 × 7,166
  4. Step 4: Simplify right side
    12,755.36x = 126,133,925.52
  5. Step 5: Solve for x
    x = 126,133,925.52/12,755.36
  6. Step 6: Final answer
    x = 9,888.70

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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.