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Finding the Fourth Proportional to 7,122.24, 10,668.83 and 4,309.32

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Solution

The fourth proportional to 7,122.24, 10,668.83 and 4,309.32 is: 6,455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.24 : 10,668.83 = 4,309.32 : x
  2. Step 2: Convert to fraction form
    7,122.24/10,668.83 = 4,309.32/x
  3. Step 3: Cross multiply
    7,122.24x = 10,668.83 × 4,309.32
  4. Step 4: Simplify right side
    7,122.24x = 45,975,402.50
  5. Step 5: Solve for x
    x = 45,975,402.50/7,122.24
  6. Step 6: Final answer
    x = 6,455.19

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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.