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Finding the Fourth Proportional to 10,379.86, 15,577.68 and 7,613.56

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Solution

The fourth proportional to 10,379.86, 15,577.68 and 7,613.56 is: 11,426.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.86 : 15,577.68 = 7,613.56 : x
  2. Step 2: Convert to fraction form
    10,379.86/15,577.68 = 7,613.56/x
  3. Step 3: Cross multiply
    10,379.86x = 15,577.68 × 7,613.56
  4. Step 4: Simplify right side
    10,379.86x = 118,601,601.34
  5. Step 5: Solve for x
    x = 118,601,601.34/10,379.86
  6. Step 6: Final answer
    x = 11,426.13

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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.