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Finding the Fourth Proportional to 7,617.86, 11,425.38 and 3,456.86

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Solution

The fourth proportional to 7,617.86, 11,425.38 and 3,456.86 is: 5,184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.86 : 11,425.38 = 3,456.86 : x
  2. Step 2: Convert to fraction form
    7,617.86/11,425.38 = 3,456.86/x
  3. Step 3: Cross multiply
    7,617.86x = 11,425.38 × 3,456.86
  4. Step 4: Simplify right side
    7,617.86x = 39,495,967.67
  5. Step 5: Solve for x
    x = 39,495,967.67/7,617.86
  6. Step 6: Final answer
    x = 5,184.66

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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.