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Finding the Fourth Proportional to 11,667.14, 16,108.57 and 8,973.59

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Solution

The fourth proportional to 11,667.14, 16,108.57 and 8,973.59 is: 12,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.14 : 16,108.57 = 8,973.59 : x
  2. Step 2: Convert to fraction form
    11,667.14/16,108.57 = 8,973.59/x
  3. Step 3: Cross multiply
    11,667.14x = 16,108.57 × 8,973.59
  4. Step 4: Simplify right side
    11,667.14x = 144,551,702.67
  5. Step 5: Solve for x
    x = 144,551,702.67/11,667.14
  6. Step 6: Final answer
    x = 12,389.64

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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.