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Finding the Fourth Proportional to 7,927.50, 10,939.86 and 4,569.09

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Solution

The fourth proportional to 7,927.50, 10,939.86 and 4,569.09 is: 6,305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.50 : 10,939.86 = 4,569.09 : x
  2. Step 2: Convert to fraction form
    7,927.50/10,939.86 = 4,569.09/x
  3. Step 3: Cross multiply
    7,927.50x = 10,939.86 × 4,569.09
  4. Step 4: Simplify right side
    7,927.50x = 49,985,204.93
  5. Step 5: Solve for x
    x = 49,985,204.93/7,927.50
  6. Step 6: Final answer
    x = 6,305.29

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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.