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Finding the Fourth Proportional to 7,663.21, 10,574.94 and 4,684.03

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Solution

The fourth proportional to 7,663.21, 10,574.94 and 4,684.03 is: 6,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.21 : 10,574.94 = 4,684.03 : x
  2. Step 2: Convert to fraction form
    7,663.21/10,574.94 = 4,684.03/x
  3. Step 3: Cross multiply
    7,663.21x = 10,574.94 × 4,684.03
  4. Step 4: Simplify right side
    7,663.21x = 49,533,336.21
  5. Step 5: Solve for x
    x = 49,533,336.21/7,663.21
  6. Step 6: Final answer
    x = 6,463.78

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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.