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Finding the Fourth Proportional to 7,780.01, 11,669.96 and 4,660.90

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Solution

The fourth proportional to 7,780.01, 11,669.96 and 4,660.90 is: 6,991.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.01 : 11,669.96 = 4,660.90 : x
  2. Step 2: Convert to fraction form
    7,780.01/11,669.96 = 4,660.90/x
  3. Step 3: Cross multiply
    7,780.01x = 11,669.96 × 4,660.90
  4. Step 4: Simplify right side
    7,780.01x = 54,392,472.82
  5. Step 5: Solve for x
    x = 54,392,472.82/7,780.01
  6. Step 6: Final answer
    x = 6,991.32

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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.