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Finding the Fourth Proportional to 10,369.65, 14,309.71 and 6,122.08

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Solution

The fourth proportional to 10,369.65, 14,309.71 and 6,122.08 is: 8,448.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.65 : 14,309.71 = 6,122.08 : x
  2. Step 2: Convert to fraction form
    10,369.65/14,309.71 = 6,122.08/x
  3. Step 3: Cross multiply
    10,369.65x = 14,309.71 × 6,122.08
  4. Step 4: Simplify right side
    10,369.65x = 87,605,158.79
  5. Step 5: Solve for x
    x = 87,605,158.79/10,369.65
  6. Step 6: Final answer
    x = 8,448.23

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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.