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Finding the Fourth Proportional to 11,432.61, 15,775.97 and 7,240.77

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Solution

The fourth proportional to 11,432.61, 15,775.97 and 7,240.77 is: 9,991.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432.61 : 15,775.97 = 7,240.77 : x
  2. Step 2: Convert to fraction form
    11,432.61/15,775.97 = 7,240.77/x
  3. Step 3: Cross multiply
    11,432.61x = 15,775.97 × 7,240.77
  4. Step 4: Simplify right side
    11,432.61x = 114,230,134.09
  5. Step 5: Solve for x
    x = 114,230,134.09/11,432.61
  6. Step 6: Final answer
    x = 9,991.61

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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.