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Finding the Fourth Proportional to 7,923.80, 10,935.06 and 4,567.43

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Solution

The fourth proportional to 7,923.80, 10,935.06 and 4,567.43 is: 6,303.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923.80 : 10,935.06 = 4,567.43 : x
  2. Step 2: Convert to fraction form
    7,923.80/10,935.06 = 4,567.43/x
  3. Step 3: Cross multiply
    7,923.80x = 10,935.06 × 4,567.43
  4. Step 4: Simplify right side
    7,923.80x = 49,945,121.10
  5. Step 5: Solve for x
    x = 49,945,121.10/7,923.80
  6. Step 6: Final answer
    x = 6,303.18

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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.