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Finding the Fourth Proportional to 11,534.26, 15,917.61 and 6,498.54

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Solution

The fourth proportional to 11,534.26, 15,917.61 and 6,498.54 is: 8,968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.26 : 15,917.61 = 6,498.54 : x
  2. Step 2: Convert to fraction form
    11,534.26/15,917.61 = 6,498.54/x
  3. Step 3: Cross multiply
    11,534.26x = 15,917.61 × 6,498.54
  4. Step 4: Simplify right side
    11,534.26x = 103,441,145.70
  5. Step 5: Solve for x
    x = 103,441,145.70/11,534.26
  6. Step 6: Final answer
    x = 8,968.16

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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.