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Finding the Fourth Proportional to 6,761.30, 10,142.58 and 1,830.98

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Solution

The fourth proportional to 6,761.30, 10,142.58 and 1,830.98 is: 2,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.30 : 10,142.58 = 1,830.98 : x
  2. Step 2: Convert to fraction form
    6,761.30/10,142.58 = 1,830.98/x
  3. Step 3: Cross multiply
    6,761.30x = 10,142.58 × 1,830.98
  4. Step 4: Simplify right side
    6,761.30x = 18,570,861.13
  5. Step 5: Solve for x
    x = 18,570,861.13/6,761.30
  6. Step 6: Final answer
    x = 2,746.64

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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.