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Finding the Fourth Proportional to 7,693.34, 10,622.49 and 4,713.24

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Solution

The fourth proportional to 7,693.34, 10,622.49 and 4,713.24 is: 6,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.34 : 10,622.49 = 4,713.24 : x
  2. Step 2: Convert to fraction form
    7,693.34/10,622.49 = 4,713.24/x
  3. Step 3: Cross multiply
    7,693.34x = 10,622.49 × 4,713.24
  4. Step 4: Simplify right side
    7,693.34x = 50,066,344.77
  5. Step 5: Solve for x
    x = 50,066,344.77/7,693.34
  6. Step 6: Final answer
    x = 6,507.76

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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.