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Finding the Fourth Proportional to 7,773.86, 11,653.04 and 6,216.53

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Solution

The fourth proportional to 7,773.86, 11,653.04 and 6,216.53 is: 9,318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.86 : 11,653.04 = 6,216.53 : x
  2. Step 2: Convert to fraction form
    7,773.86/11,653.04 = 6,216.53/x
  3. Step 3: Cross multiply
    7,773.86x = 11,653.04 × 6,216.53
  4. Step 4: Simplify right side
    7,773.86x = 72,441,383.40
  5. Step 5: Solve for x
    x = 72,441,383.40/7,773.86
  6. Step 6: Final answer
    x = 9,318.59

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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.