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Finding the Fourth Proportional to 7,472.30, 11,207.88 and 2,790.50

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Solution

The fourth proportional to 7,472.30, 11,207.88 and 2,790.50 is: 4,185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.30 : 11,207.88 = 2,790.50 : x
  2. Step 2: Convert to fraction form
    7,472.30/11,207.88 = 2,790.50/x
  3. Step 3: Cross multiply
    7,472.30x = 11,207.88 × 2,790.50
  4. Step 4: Simplify right side
    7,472.30x = 31,275,533.10
  5. Step 5: Solve for x
    x = 31,275,533.10/7,472.30
  6. Step 6: Final answer
    x = 4,185.53

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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.