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Finding the Fourth Proportional to 11,225.65, 16,816.92 and 6,280.30

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Solution

The fourth proportional to 11,225.65, 16,816.92 and 6,280.30 is: 9,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,225.65 : 16,816.92 = 6,280.30 : x
  2. Step 2: Convert to fraction form
    11,225.65/16,816.92 = 6,280.30/x
  3. Step 3: Cross multiply
    11,225.65x = 16,816.92 × 6,280.30
  4. Step 4: Simplify right side
    11,225.65x = 105,615,302.68
  5. Step 5: Solve for x
    x = 105,615,302.68/11,225.65
  6. Step 6: Final answer
    x = 9,408.39

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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.