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Finding the Fourth Proportional to 10,214.65, 15,334.93 and 8,685.37

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Solution

The fourth proportional to 10,214.65, 15,334.93 and 8,685.37 is: 13,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.65 : 15,334.93 = 8,685.37 : x
  2. Step 2: Convert to fraction form
    10,214.65/15,334.93 = 8,685.37/x
  3. Step 3: Cross multiply
    10,214.65x = 15,334.93 × 8,685.37
  4. Step 4: Simplify right side
    10,214.65x = 133,189,464.30
  5. Step 5: Solve for x
    x = 133,189,464.30/10,214.65
  6. Step 6: Final answer
    x = 13,039.07

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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.