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Finding the Fourth Proportional to 7,290.42, 10,057.63 and 4,768.13

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Solution

The fourth proportional to 7,290.42, 10,057.63 and 4,768.13 is: 6,577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,290.42 : 10,057.63 = 4,768.13 : x
  2. Step 2: Convert to fraction form
    7,290.42/10,057.63 = 4,768.13/x
  3. Step 3: Cross multiply
    7,290.42x = 10,057.63 × 4,768.13
  4. Step 4: Simplify right side
    7,290.42x = 47,956,087.33
  5. Step 5: Solve for x
    x = 47,956,087.33/7,290.42
  6. Step 6: Final answer
    x = 6,577.96

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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.