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Finding the Fourth Proportional to 7,687.34, 10,614.21 and 4,707.23

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Solution

The fourth proportional to 7,687.34, 10,614.21 and 4,707.23 is: 6,499.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.34 : 10,614.21 = 4,707.23 : x
  2. Step 2: Convert to fraction form
    7,687.34/10,614.21 = 4,707.23/x
  3. Step 3: Cross multiply
    7,687.34x = 10,614.21 × 4,707.23
  4. Step 4: Simplify right side
    7,687.34x = 49,963,554.27
  5. Step 5: Solve for x
    x = 49,963,554.27/7,687.34
  6. Step 6: Final answer
    x = 6,499.46

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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.