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Finding the Fourth Proportional to 11,588.40, 17,389.92 and 6,667.68

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Solution

The fourth proportional to 11,588.40, 17,389.92 and 6,667.68 is: 10,005.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.40 : 17,389.92 = 6,667.68 : x
  2. Step 2: Convert to fraction form
    11,588.40/17,389.92 = 6,667.68/x
  3. Step 3: Cross multiply
    11,588.40x = 17,389.92 × 6,667.68
  4. Step 4: Simplify right side
    11,588.40x = 115,950,421.79
  5. Step 5: Solve for x
    x = 115,950,421.79/11,588.40
  6. Step 6: Final answer
    x = 10,005.73

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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.