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Finding the Fourth Proportional to 10,489.08, 15,796.11 and 9,460.92

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Solution

The fourth proportional to 10,489.08, 15,796.11 and 9,460.92 is: 14,247.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.08 : 15,796.11 = 9,460.92 : x
  2. Step 2: Convert to fraction form
    10,489.08/15,796.11 = 9,460.92/x
  3. Step 3: Cross multiply
    10,489.08x = 15,796.11 × 9,460.92
  4. Step 4: Simplify right side
    10,489.08x = 149,445,733.02
  5. Step 5: Solve for x
    x = 149,445,733.02/10,489.08
  6. Step 6: Final answer
    x = 14,247.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.