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Finding the Fourth Proportional to 11,417.58, 17,083.26 and 6,740.13

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Solution

The fourth proportional to 11,417.58, 17,083.26 and 6,740.13 is: 10,084.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.58 : 17,083.26 = 6,740.13 : x
  2. Step 2: Convert to fraction form
    11,417.58/17,083.26 = 6,740.13/x
  3. Step 3: Cross multiply
    11,417.58x = 17,083.26 × 6,740.13
  4. Step 4: Simplify right side
    11,417.58x = 115,143,393.22
  5. Step 5: Solve for x
    x = 115,143,393.22/11,417.58
  6. Step 6: Final answer
    x = 10,084.75

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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.