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Finding the Fourth Proportional to 7,770.33, 10,724.18 and 4,412.45

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Solution

The fourth proportional to 7,770.33, 10,724.18 and 4,412.45 is: 6,089.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.33 : 10,724.18 = 4,412.45 : x
  2. Step 2: Convert to fraction form
    7,770.33/10,724.18 = 4,412.45/x
  3. Step 3: Cross multiply
    7,770.33x = 10,724.18 × 4,412.45
  4. Step 4: Simplify right side
    7,770.33x = 47,319,912.79
  5. Step 5: Solve for x
    x = 47,319,912.79/7,770.33
  6. Step 6: Final answer
    x = 6,089.82

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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.