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Finding the Fourth Proportional to 11,686.36, 17,531.26 and 4,666.50

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Solution

The fourth proportional to 11,686.36, 17,531.26 and 4,666.50 is: 7,000.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.36 : 17,531.26 = 4,666.50 : x
  2. Step 2: Convert to fraction form
    11,686.36/17,531.26 = 4,666.50/x
  3. Step 3: Cross multiply
    11,686.36x = 17,531.26 × 4,666.50
  4. Step 4: Simplify right side
    11,686.36x = 81,809,537.13
  5. Step 5: Solve for x
    x = 81,809,537.13/11,686.36
  6. Step 6: Final answer
    x = 7,000.43

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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.