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Finding the Fourth Proportional to 11,432.72, 15,779.40 and 7,238

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Solution

The fourth proportional to 11,432.72, 15,779.40 and 7,238 is: 9,989.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432.72 : 15,779.40 = 7,238 : x
  2. Step 2: Convert to fraction form
    11,432.72/15,779.40 = 7,238/x
  3. Step 3: Cross multiply
    11,432.72x = 15,779.40 × 7,238
  4. Step 4: Simplify right side
    11,432.72x = 114,211,297.20
  5. Step 5: Solve for x
    x = 114,211,297.20/11,432.72
  6. Step 6: Final answer
    x = 9,989.86

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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.