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Finding the Fourth Proportional to 7,770.85, 11,643.31 and 5,458.21

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Solution

The fourth proportional to 7,770.85, 11,643.31 and 5,458.21 is: 8,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.85 : 11,643.31 = 5,458.21 : x
  2. Step 2: Convert to fraction form
    7,770.85/11,643.31 = 5,458.21/x
  3. Step 3: Cross multiply
    7,770.85x = 11,643.31 × 5,458.21
  4. Step 4: Simplify right side
    7,770.85x = 63,551,631.08
  5. Step 5: Solve for x
    x = 63,551,631.08/7,770.85
  6. Step 6: Final answer
    x = 8,178.21

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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.