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Finding the Fourth Proportional to 7,811.33, 11,703.33 and 6,503.48

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Solution

The fourth proportional to 7,811.33, 11,703.33 and 6,503.48 is: 9,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.33 : 11,703.33 = 6,503.48 : x
  2. Step 2: Convert to fraction form
    7,811.33/11,703.33 = 6,503.48/x
  3. Step 3: Cross multiply
    7,811.33x = 11,703.33 × 6,503.48
  4. Step 4: Simplify right side
    7,811.33x = 76,112,357.96
  5. Step 5: Solve for x
    x = 76,112,357.96/7,811.33
  6. Step 6: Final answer
    x = 9,743.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.