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Finding the Fourth Proportional to 6,780.80, 10,146.48 and 5,599.82

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Solution

The fourth proportional to 6,780.80, 10,146.48 and 5,599.82 is: 8,379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.80 : 10,146.48 = 5,599.82 : x
  2. Step 2: Convert to fraction form
    6,780.80/10,146.48 = 5,599.82/x
  3. Step 3: Cross multiply
    6,780.80x = 10,146.48 × 5,599.82
  4. Step 4: Simplify right side
    6,780.80x = 56,818,461.63
  5. Step 5: Solve for x
    x = 56,818,461.63/6,780.80
  6. Step 6: Final answer
    x = 8,379.32

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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.