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Finding the Fourth Proportional to 7,707.60, 11,554.65 and 5,234.40

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Solution

The fourth proportional to 7,707.60, 11,554.65 and 5,234.40 is: 7,847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.60 : 11,554.65 = 5,234.40 : x
  2. Step 2: Convert to fraction form
    7,707.60/11,554.65 = 5,234.40/x
  3. Step 3: Cross multiply
    7,707.60x = 11,554.65 × 5,234.40
  4. Step 4: Simplify right side
    7,707.60x = 60,481,659.96
  5. Step 5: Solve for x
    x = 60,481,659.96/7,707.60
  6. Step 6: Final answer
    x = 7,847.02

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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.