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Finding the Fourth Proportional to 11,603.34, 17,375.82 and 8,314.74

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Solution

The fourth proportional to 11,603.34, 17,375.82 and 8,314.74 is: 12,451.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.34 : 17,375.82 = 8,314.74 : x
  2. Step 2: Convert to fraction form
    11,603.34/17,375.82 = 8,314.74/x
  3. Step 3: Cross multiply
    11,603.34x = 17,375.82 × 8,314.74
  4. Step 4: Simplify right side
    11,603.34x = 144,475,425.59
  5. Step 5: Solve for x
    x = 144,475,425.59/11,603.34
  6. Step 6: Final answer
    x = 12,451.19

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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.