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Finding the Fourth Proportional to 7,835.40, 11,751.26 and 4,673.73

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Solution

The fourth proportional to 7,835.40, 11,751.26 and 4,673.73 is: 7,009.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.40 : 11,751.26 = 4,673.73 : x
  2. Step 2: Convert to fraction form
    7,835.40/11,751.26 = 4,673.73/x
  3. Step 3: Cross multiply
    7,835.40x = 11,751.26 × 4,673.73
  4. Step 4: Simplify right side
    7,835.40x = 54,922,216.40
  5. Step 5: Solve for x
    x = 54,922,216.40/7,835.40
  6. Step 6: Final answer
    x = 7,009.50

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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.