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Finding the Fourth Proportional to 7,780.88, 11,671.32 and 2,520.30

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Solution

The fourth proportional to 7,780.88, 11,671.32 and 2,520.30 is: 3,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.88 : 11,671.32 = 2,520.30 : x
  2. Step 2: Convert to fraction form
    7,780.88/11,671.32 = 2,520.30/x
  3. Step 3: Cross multiply
    7,780.88x = 11,671.32 × 2,520.30
  4. Step 4: Simplify right side
    7,780.88x = 29,415,227.80
  5. Step 5: Solve for x
    x = 29,415,227.80/7,780.88
  6. Step 6: Final answer
    x = 3,780.45

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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.