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Finding the Fourth Proportional to 7,833.48, 11,751.50 and 2,902.87

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Solution

The fourth proportional to 7,833.48, 11,751.50 and 2,902.87 is: 4,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.48 : 11,751.50 = 2,902.87 : x
  2. Step 2: Convert to fraction form
    7,833.48/11,751.50 = 2,902.87/x
  3. Step 3: Cross multiply
    7,833.48x = 11,751.50 × 2,902.87
  4. Step 4: Simplify right side
    7,833.48x = 34,113,076.81
  5. Step 5: Solve for x
    x = 34,113,076.81/7,833.48
  6. Step 6: Final answer
    x = 4,354.78

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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.