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Finding the Fourth Proportional to 10,369.65, 15,549.21 and 5,105.07

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Solution

The fourth proportional to 10,369.65, 15,549.21 and 5,105.07 is: 7,655.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.65 : 15,549.21 = 5,105.07 : x
  2. Step 2: Convert to fraction form
    10,369.65/15,549.21 = 5,105.07/x
  3. Step 3: Cross multiply
    10,369.65x = 15,549.21 × 5,105.07
  4. Step 4: Simplify right side
    10,369.65x = 79,379,805.49
  5. Step 5: Solve for x
    x = 79,379,805.49/10,369.65
  6. Step 6: Final answer
    x = 7,655.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.