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Finding the Fourth Proportional to 10,007.13, 14,989.94 and 5,834.49

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Solution

The fourth proportional to 10,007.13, 14,989.94 and 5,834.49 is: 8,739.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.13 : 14,989.94 = 5,834.49 : x
  2. Step 2: Convert to fraction form
    10,007.13/14,989.94 = 5,834.49/x
  3. Step 3: Cross multiply
    10,007.13x = 14,989.94 × 5,834.49
  4. Step 4: Simplify right side
    10,007.13x = 87,458,580.08
  5. Step 5: Solve for x
    x = 87,458,580.08/10,007.13
  6. Step 6: Final answer
    x = 8,739.62

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Why These Related Problems?

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