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Finding the Fourth Proportional to 7,780.60, 11,662.80 and 4,265.20

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Solution

The fourth proportional to 7,780.60, 11,662.80 and 4,265.20 is: 6,393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.60 : 11,662.80 = 4,265.20 : x
  2. Step 2: Convert to fraction form
    7,780.60/11,662.80 = 4,265.20/x
  3. Step 3: Cross multiply
    7,780.60x = 11,662.80 × 4,265.20
  4. Step 4: Simplify right side
    7,780.60x = 49,744,174.56
  5. Step 5: Solve for x
    x = 49,744,174.56/7,780.60
  6. Step 6: Final answer
    x = 6,393.36

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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.