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Finding the Fourth Proportional to 11,514, 17,276.88 and 4,938.40

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Solution

The fourth proportional to 11,514, 17,276.88 and 4,938.40 is: 7,410.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514 : 17,276.88 = 4,938.40 : x
  2. Step 2: Convert to fraction form
    11,514/17,276.88 = 4,938.40/x
  3. Step 3: Cross multiply
    11,514x = 17,276.88 × 4,938.40
  4. Step 4: Simplify right side
    11,514x = 85,320,144.19
  5. Step 5: Solve for x
    x = 85,320,144.19/11,514
  6. Step 6: Final answer
    x = 7,410.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.