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Finding the Fourth Proportional to 7,709.94, 11,564.91 and 4,425.12

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Solution

The fourth proportional to 7,709.94, 11,564.91 and 4,425.12 is: 6,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.94 : 11,564.91 = 4,425.12 : x
  2. Step 2: Convert to fraction form
    7,709.94/11,564.91 = 4,425.12/x
  3. Step 3: Cross multiply
    7,709.94x = 11,564.91 × 4,425.12
  4. Step 4: Simplify right side
    7,709.94x = 51,176,114.54
  5. Step 5: Solve for x
    x = 51,176,114.54/7,709.94
  6. Step 6: Final answer
    x = 6,637.68

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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.