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Finding the Fourth Proportional to 7,665.69, 11,488.77 and 3,507.96

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Solution

The fourth proportional to 7,665.69, 11,488.77 and 3,507.96 is: 5,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.69 : 11,488.77 = 3,507.96 : x
  2. Step 2: Convert to fraction form
    7,665.69/11,488.77 = 3,507.96/x
  3. Step 3: Cross multiply
    7,665.69x = 11,488.77 × 3,507.96
  4. Step 4: Simplify right side
    7,665.69x = 40,302,145.61
  5. Step 5: Solve for x
    x = 40,302,145.61/7,665.69
  6. Step 6: Final answer
    x = 5,257.47

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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.