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Finding the Fourth Proportional to 7,686.34, 10,607.04 and 4,329.49

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Solution

The fourth proportional to 7,686.34, 10,607.04 and 4,329.49 is: 5,974.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.34 : 10,607.04 = 4,329.49 : x
  2. Step 2: Convert to fraction form
    7,686.34/10,607.04 = 4,329.49/x
  3. Step 3: Cross multiply
    7,686.34x = 10,607.04 × 4,329.49
  4. Step 4: Simplify right side
    7,686.34x = 45,923,020.57
  5. Step 5: Solve for x
    x = 45,923,020.57/7,686.34
  6. Step 6: Final answer
    x = 5,974.63

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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.