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Finding the Fourth Proportional to 11,740.63, 17,610.94 and 6,117.13

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Solution

The fourth proportional to 11,740.63, 17,610.94 and 6,117.13 is: 9,175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740.63 : 17,610.94 = 6,117.13 : x
  2. Step 2: Convert to fraction form
    11,740.63/17,610.94 = 6,117.13/x
  3. Step 3: Cross multiply
    11,740.63x = 17,610.94 × 6,117.13
  4. Step 4: Simplify right side
    11,740.63x = 107,728,409.40
  5. Step 5: Solve for x
    x = 107,728,409.40/11,740.63
  6. Step 6: Final answer
    x = 9,175.69

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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.