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Finding the Fourth Proportional to 12,077.60, 16,667.16 and 6,772.64

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Solution

The fourth proportional to 12,077.60, 16,667.16 and 6,772.64 is: 9,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.60 : 16,667.16 = 6,772.64 : x
  2. Step 2: Convert to fraction form
    12,077.60/16,667.16 = 6,772.64/x
  3. Step 3: Cross multiply
    12,077.60x = 16,667.16 × 6,772.64
  4. Step 4: Simplify right side
    12,077.60x = 112,880,674.50
  5. Step 5: Solve for x
    x = 112,880,674.50/12,077.60
  6. Step 6: Final answer
    x = 9,346.28

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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.