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Finding the Fourth Proportional to 7,111.80, 10,659.57 and 4,332.30

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Solution

The fourth proportional to 7,111.80, 10,659.57 and 4,332.30 is: 6,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.80 : 10,659.57 = 4,332.30 : x
  2. Step 2: Convert to fraction form
    7,111.80/10,659.57 = 4,332.30/x
  3. Step 3: Cross multiply
    7,111.80x = 10,659.57 × 4,332.30
  4. Step 4: Simplify right side
    7,111.80x = 46,180,458.85
  5. Step 5: Solve for x
    x = 46,180,458.85/7,111.80
  6. Step 6: Final answer
    x = 6,493.50

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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.