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Finding the Fourth Proportional to 11,760.48, 17,651.52 and 7,385.76

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Solution

The fourth proportional to 11,760.48, 17,651.52 and 7,385.76 is: 11,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.48 : 17,651.52 = 7,385.76 : x
  2. Step 2: Convert to fraction form
    11,760.48/17,651.52 = 7,385.76/x
  3. Step 3: Cross multiply
    11,760.48x = 17,651.52 × 7,385.76
  4. Step 4: Simplify right side
    11,760.48x = 130,369,890.36
  5. Step 5: Solve for x
    x = 130,369,890.36/11,760.48
  6. Step 6: Final answer
    x = 11,085.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.