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Finding the Fourth Proportional to 11,765.25, 16,236.05 and 6,460.16

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Solution

The fourth proportional to 11,765.25, 16,236.05 and 6,460.16 is: 8,915.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.25 : 16,236.05 = 6,460.16 : x
  2. Step 2: Convert to fraction form
    11,765.25/16,236.05 = 6,460.16/x
  3. Step 3: Cross multiply
    11,765.25x = 16,236.05 × 6,460.16
  4. Step 4: Simplify right side
    11,765.25x = 104,887,367.29
  5. Step 5: Solve for x
    x = 104,887,367.29/11,765.25
  6. Step 6: Final answer
    x = 8,915.01

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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.