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Finding the Fourth Proportional to 7,927.65, 10,922.54 and 5,234.09

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Solution

The fourth proportional to 7,927.65, 10,922.54 and 5,234.09 is: 7,211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.65 : 10,922.54 = 5,234.09 : x
  2. Step 2: Convert to fraction form
    7,927.65/10,922.54 = 5,234.09/x
  3. Step 3: Cross multiply
    7,927.65x = 10,922.54 × 5,234.09
  4. Step 4: Simplify right side
    7,927.65x = 57,169,476.61
  5. Step 5: Solve for x
    x = 57,169,476.61/7,927.65
  6. Step 6: Final answer
    x = 7,211.40

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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.