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Finding the Fourth Proportional to 11,969.60, 16,514.76 and 7,123.57

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Solution

The fourth proportional to 11,969.60, 16,514.76 and 7,123.57 is: 9,828.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.60 : 16,514.76 = 7,123.57 : x
  2. Step 2: Convert to fraction form
    11,969.60/16,514.76 = 7,123.57/x
  3. Step 3: Cross multiply
    11,969.60x = 16,514.76 × 7,123.57
  4. Step 4: Simplify right side
    11,969.60x = 117,644,048.89
  5. Step 5: Solve for x
    x = 117,644,048.89/11,969.60
  6. Step 6: Final answer
    x = 9,828.57

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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.