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Finding the Fourth Proportional to 11,498.17, 15,867.03 and 6,462.60

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Solution

The fourth proportional to 11,498.17, 15,867.03 and 6,462.60 is: 8,918.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,498.17 : 15,867.03 = 6,462.60 : x
  2. Step 2: Convert to fraction form
    11,498.17/15,867.03 = 6,462.60/x
  3. Step 3: Cross multiply
    11,498.17x = 15,867.03 × 6,462.60
  4. Step 4: Simplify right side
    11,498.17x = 102,542,268.08
  5. Step 5: Solve for x
    x = 102,542,268.08/11,498.17
  6. Step 6: Final answer
    x = 8,918.14

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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.