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Finding the Fourth Proportional to 7,485.48, 11,214.96 and 7,041

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Solution

The fourth proportional to 7,485.48, 11,214.96 and 7,041 is: 10,549.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,485.48 : 11,214.96 = 7,041 : x
  2. Step 2: Convert to fraction form
    7,485.48/11,214.96 = 7,041/x
  3. Step 3: Cross multiply
    7,485.48x = 11,214.96 × 7,041
  4. Step 4: Simplify right side
    7,485.48x = 78,964,533.36
  5. Step 5: Solve for x
    x = 78,964,533.36/7,485.48
  6. Step 6: Final answer
    x = 10,549.03

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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.