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Finding the Fourth Proportional to 7,665.96, 11,488.70 and 4,100.77

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Solution

The fourth proportional to 7,665.96, 11,488.70 and 4,100.77 is: 6,145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.96 : 11,488.70 = 4,100.77 : x
  2. Step 2: Convert to fraction form
    7,665.96/11,488.70 = 4,100.77/x
  3. Step 3: Cross multiply
    7,665.96x = 11,488.70 × 4,100.77
  4. Step 4: Simplify right side
    7,665.96x = 47,112,540.91
  5. Step 5: Solve for x
    x = 47,112,540.91/7,665.96
  6. Step 6: Final answer
    x = 6,145.68

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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.