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Finding the Fourth Proportional to 11,317.51, 15,618.09 and 6,538.17

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Solution

The fourth proportional to 11,317.51, 15,618.09 and 6,538.17 is: 9,022.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,317.51 : 15,618.09 = 6,538.17 : x
  2. Step 2: Convert to fraction form
    11,317.51/15,618.09 = 6,538.17/x
  3. Step 3: Cross multiply
    11,317.51x = 15,618.09 × 6,538.17
  4. Step 4: Simplify right side
    11,317.51x = 102,113,727.50
  5. Step 5: Solve for x
    x = 102,113,727.50/11,317.51
  6. Step 6: Final answer
    x = 9,022.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.