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Finding the Fourth Proportional to 7,654.37, 11,470.85 and 4,136.79

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Solution

The fourth proportional to 7,654.37, 11,470.85 and 4,136.79 is: 6,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.37 : 11,470.85 = 4,136.79 : x
  2. Step 2: Convert to fraction form
    7,654.37/11,470.85 = 4,136.79/x
  3. Step 3: Cross multiply
    7,654.37x = 11,470.85 × 4,136.79
  4. Step 4: Simplify right side
    7,654.37x = 47,452,440.22
  5. Step 5: Solve for x
    x = 47,452,440.22/7,654.37
  6. Step 6: Final answer
    x = 6,199.40

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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.