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Finding the Fourth Proportional to 7,832.06, 11,750.65 and 2,902.06

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Solution

The fourth proportional to 7,832.06, 11,750.65 and 2,902.06 is: 4,354.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.06 : 11,750.65 = 2,902.06 : x
  2. Step 2: Convert to fraction form
    7,832.06/11,750.65 = 2,902.06/x
  3. Step 3: Cross multiply
    7,832.06x = 11,750.65 × 2,902.06
  4. Step 4: Simplify right side
    7,832.06x = 34,101,091.34
  5. Step 5: Solve for x
    x = 34,101,091.34/7,832.06
  6. Step 6: Final answer
    x = 4,354.04

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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.