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Finding the Fourth Proportional to 7,849.66, 11,763.14 and 4,379.62

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Solution

The fourth proportional to 7,849.66, 11,763.14 and 4,379.62 is: 6,563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.66 : 11,763.14 = 4,379.62 : x
  2. Step 2: Convert to fraction form
    7,849.66/11,763.14 = 4,379.62/x
  3. Step 3: Cross multiply
    7,849.66x = 11,763.14 × 4,379.62
  4. Step 4: Simplify right side
    7,849.66x = 51,518,083.21
  5. Step 5: Solve for x
    x = 51,518,083.21/7,849.66
  6. Step 6: Final answer
    x = 6,563.10

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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.