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Finding the Fourth Proportional to 7,770.29, 10,723.26 and 4,412.99

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Solution

The fourth proportional to 7,770.29, 10,723.26 and 4,412.99 is: 6,090.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.29 : 10,723.26 = 4,412.99 : x
  2. Step 2: Convert to fraction form
    7,770.29/10,723.26 = 4,412.99/x
  3. Step 3: Cross multiply
    7,770.29x = 10,723.26 × 4,412.99
  4. Step 4: Simplify right side
    7,770.29x = 47,321,639.15
  5. Step 5: Solve for x
    x = 47,321,639.15/7,770.29
  6. Step 6: Final answer
    x = 6,090.07

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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.