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Finding the Fourth Proportional to 7,916.25, 10,923.90 and 4,379.43

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Solution

The fourth proportional to 7,916.25, 10,923.90 and 4,379.43 is: 6,043.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,916.25 : 10,923.90 = 4,379.43 : x
  2. Step 2: Convert to fraction form
    7,916.25/10,923.90 = 4,379.43/x
  3. Step 3: Cross multiply
    7,916.25x = 10,923.90 × 4,379.43
  4. Step 4: Simplify right side
    7,916.25x = 47,840,455.38
  5. Step 5: Solve for x
    x = 47,840,455.38/7,916.25
  6. Step 6: Final answer
    x = 6,043.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.