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Finding the Fourth Proportional to 7,709.76, 11,564.88 and 3,326.40

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Solution

The fourth proportional to 7,709.76, 11,564.88 and 3,326.40 is: 4,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.76 : 11,564.88 = 3,326.40 : x
  2. Step 2: Convert to fraction form
    7,709.76/11,564.88 = 3,326.40/x
  3. Step 3: Cross multiply
    7,709.76x = 11,564.88 × 3,326.40
  4. Step 4: Simplify right side
    7,709.76x = 38,469,416.83
  5. Step 5: Solve for x
    x = 38,469,416.83/7,709.76
  6. Step 6: Final answer
    x = 4,989.70

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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.