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Finding the Fourth Proportional to 7,846.10, 11,755.29 and 4,140.15

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Solution

The fourth proportional to 7,846.10, 11,755.29 and 4,140.15 is: 6,202.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.10 : 11,755.29 = 4,140.15 : x
  2. Step 2: Convert to fraction form
    7,846.10/11,755.29 = 4,140.15/x
  3. Step 3: Cross multiply
    7,846.10x = 11,755.29 × 4,140.15
  4. Step 4: Simplify right side
    7,846.10x = 48,668,701.46
  5. Step 5: Solve for x
    x = 48,668,701.46/7,846.10
  6. Step 6: Final answer
    x = 6,202.92

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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.