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Finding the Fourth Proportional to 12,077.88, 16,667.64 and 7,297.16

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Solution

The fourth proportional to 12,077.88, 16,667.64 and 7,297.16 is: 10,070.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.88 : 16,667.64 = 7,297.16 : x
  2. Step 2: Convert to fraction form
    12,077.88/16,667.64 = 7,297.16/x
  3. Step 3: Cross multiply
    12,077.88x = 16,667.64 × 7,297.16
  4. Step 4: Simplify right side
    12,077.88x = 121,626,352.56
  5. Step 5: Solve for x
    x = 121,626,352.56/12,077.88
  6. Step 6: Final answer
    x = 10,070.18

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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.