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Finding the Fourth Proportional to 7,716.86, 10,633.84 and 5,354.90

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Solution

The fourth proportional to 7,716.86, 10,633.84 and 5,354.90 is: 7,379.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.86 : 10,633.84 = 5,354.90 : x
  2. Step 2: Convert to fraction form
    7,716.86/10,633.84 = 5,354.90/x
  3. Step 3: Cross multiply
    7,716.86x = 10,633.84 × 5,354.90
  4. Step 4: Simplify right side
    7,716.86x = 56,943,149.82
  5. Step 5: Solve for x
    x = 56,943,149.82/7,716.86
  6. Step 6: Final answer
    x = 7,379.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.