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Finding the Fourth Proportional to 11,546.57, 15,934.15 and 6,442.13

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Solution

The fourth proportional to 11,546.57, 15,934.15 and 6,442.13 is: 8,890.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.57 : 15,934.15 = 6,442.13 : x
  2. Step 2: Convert to fraction form
    11,546.57/15,934.15 = 6,442.13/x
  3. Step 3: Cross multiply
    11,546.57x = 15,934.15 × 6,442.13
  4. Step 4: Simplify right side
    11,546.57x = 102,649,865.74
  5. Step 5: Solve for x
    x = 102,649,865.74/11,546.57
  6. Step 6: Final answer
    x = 8,890.07

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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.