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Finding the Fourth Proportional to 7,924.83, 10,936.16 and 4,567.65

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Solution

The fourth proportional to 7,924.83, 10,936.16 and 4,567.65 is: 6,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.83 : 10,936.16 = 4,567.65 : x
  2. Step 2: Convert to fraction form
    7,924.83/10,936.16 = 4,567.65/x
  3. Step 3: Cross multiply
    7,924.83x = 10,936.16 × 4,567.65
  4. Step 4: Simplify right side
    7,924.83x = 49,952,528.39
  5. Step 5: Solve for x
    x = 49,952,528.39/7,924.83
  6. Step 6: Final answer
    x = 6,303.29

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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.