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Finding the Fourth Proportional to 11,539.32, 17,264.04 and 8,774

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Solution

The fourth proportional to 11,539.32, 17,264.04 and 8,774 is: 13,126.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.32 : 17,264.04 = 8,774 : x
  2. Step 2: Convert to fraction form
    11,539.32/17,264.04 = 8,774/x
  3. Step 3: Cross multiply
    11,539.32x = 17,264.04 × 8,774
  4. Step 4: Simplify right side
    11,539.32x = 151,474,686.96
  5. Step 5: Solve for x
    x = 151,474,686.96/11,539.32
  6. Step 6: Final answer
    x = 13,126.83

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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.