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Finding the Fourth Proportional to 11,575.96, 17,391.64 and 7,424.10

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Solution

The fourth proportional to 11,575.96, 17,391.64 and 7,424.10 is: 11,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.96 : 17,391.64 = 7,424.10 : x
  2. Step 2: Convert to fraction form
    11,575.96/17,391.64 = 7,424.10/x
  3. Step 3: Cross multiply
    11,575.96x = 17,391.64 × 7,424.10
  4. Step 4: Simplify right side
    11,575.96x = 129,117,274.52
  5. Step 5: Solve for x
    x = 129,117,274.52/11,575.96
  6. Step 6: Final answer
    x = 11,153.92

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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.