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Finding the Fourth Proportional to 11,386.97, 17,086.13 and 6,386.24

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Solution

The fourth proportional to 11,386.97, 17,086.13 and 6,386.24 is: 9,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386.97 : 17,086.13 = 6,386.24 : x
  2. Step 2: Convert to fraction form
    11,386.97/17,086.13 = 6,386.24/x
  3. Step 3: Cross multiply
    11,386.97x = 17,086.13 × 6,386.24
  4. Step 4: Simplify right side
    11,386.97x = 109,116,009.49
  5. Step 5: Solve for x
    x = 109,116,009.49/11,386.97
  6. Step 6: Final answer
    x = 9,582.54

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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.