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Finding the Fourth Proportional to 11,423.20, 17,138.08 and 4,758.40

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Solution

The fourth proportional to 11,423.20, 17,138.08 and 4,758.40 is: 7,138.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.20 : 17,138.08 = 4,758.40 : x
  2. Step 2: Convert to fraction form
    11,423.20/17,138.08 = 4,758.40/x
  3. Step 3: Cross multiply
    11,423.20x = 17,138.08 × 4,758.40
  4. Step 4: Simplify right side
    11,423.20x = 81,549,839.87
  5. Step 5: Solve for x
    x = 81,549,839.87/11,423.20
  6. Step 6: Final answer
    x = 7,138.97

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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.