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Finding the Fourth Proportional to 11,686.23, 17,525.01 and 4,664.15

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Solution

The fourth proportional to 11,686.23, 17,525.01 and 4,664.15 is: 6,994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.23 : 17,525.01 = 4,664.15 : x
  2. Step 2: Convert to fraction form
    11,686.23/17,525.01 = 4,664.15/x
  3. Step 3: Cross multiply
    11,686.23x = 17,525.01 × 4,664.15
  4. Step 4: Simplify right side
    11,686.23x = 81,739,187.77
  5. Step 5: Solve for x
    x = 81,739,187.77/11,686.23
  6. Step 6: Final answer
    x = 6,994.49

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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.