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Finding the Fourth Proportional to 12,085.48, 16,677.54 and 7,377.64

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Solution

The fourth proportional to 12,085.48, 16,677.54 and 7,377.64 is: 10,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.48 : 16,677.54 = 7,377.64 : x
  2. Step 2: Convert to fraction form
    12,085.48/16,677.54 = 7,377.64/x
  3. Step 3: Cross multiply
    12,085.48x = 16,677.54 × 7,377.64
  4. Step 4: Simplify right side
    12,085.48x = 123,040,886.21
  5. Step 5: Solve for x
    x = 123,040,886.21/12,085.48
  6. Step 6: Final answer
    x = 10,180.89

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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.