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Finding the Fourth Proportional to 7,711.40, 11,550.90 and 6,415.40

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Solution

The fourth proportional to 7,711.40, 11,550.90 and 6,415.40 is: 9,609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.40 : 11,550.90 = 6,415.40 : x
  2. Step 2: Convert to fraction form
    7,711.40/11,550.90 = 6,415.40/x
  3. Step 3: Cross multiply
    7,711.40x = 11,550.90 × 6,415.40
  4. Step 4: Simplify right side
    7,711.40x = 74,103,643.86
  5. Step 5: Solve for x
    x = 74,103,643.86/7,711.40
  6. Step 6: Final answer
    x = 9,609.62

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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.